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Finding the Fourth Proportional to 9,658.93, 13,316.24 and 8,257.67

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Solution

The fourth proportional to 9,658.93, 13,316.24 and 8,257.67 is: 11,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.93 : 13,316.24 = 8,257.67 : x
  2. Step 2: Convert to fraction form
    9,658.93/13,316.24 = 8,257.67/x
  3. Step 3: Cross multiply
    9,658.93x = 13,316.24 × 8,257.67
  4. Step 4: Simplify right side
    9,658.93x = 109,961,148.85
  5. Step 5: Solve for x
    x = 109,961,148.85/9,658.93
  6. Step 6: Final answer
    x = 11,384.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.