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Finding the Fourth Proportional to 9,089.16, 13,633.74 and 8,389.32

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Solution

The fourth proportional to 9,089.16, 13,633.74 and 8,389.32 is: 12,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.16 : 13,633.74 = 8,389.32 : x
  2. Step 2: Convert to fraction form
    9,089.16/13,633.74 = 8,389.32/x
  3. Step 3: Cross multiply
    9,089.16x = 13,633.74 × 8,389.32
  4. Step 4: Simplify right side
    9,089.16x = 114,377,807.66
  5. Step 5: Solve for x
    x = 114,377,807.66/9,089.16
  6. Step 6: Final answer
    x = 12,583.98

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.