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Finding the Fourth Proportional to 9,603.72, 13,252.62 and 6,194.76

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Solution

The fourth proportional to 9,603.72, 13,252.62 and 6,194.76 is: 8,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.72 : 13,252.62 = 6,194.76 : x
  2. Step 2: Convert to fraction form
    9,603.72/13,252.62 = 6,194.76/x
  3. Step 3: Cross multiply
    9,603.72x = 13,252.62 × 6,194.76
  4. Step 4: Simplify right side
    9,603.72x = 82,096,800.27
  5. Step 5: Solve for x
    x = 82,096,800.27/9,603.72
  6. Step 6: Final answer
    x = 8,548.44

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Half scale
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Double scale
Find fourth proportional to 9,604.72, 13,254 and 6,195.76
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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.