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Finding the Fourth Proportional to 10,486.64, 15,732.12 and 8,767.28

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Solution

The fourth proportional to 10,486.64, 15,732.12 and 8,767.28 is: 13,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.64 : 15,732.12 = 8,767.28 : x
  2. Step 2: Convert to fraction form
    10,486.64/15,732.12 = 8,767.28/x
  3. Step 3: Cross multiply
    10,486.64x = 15,732.12 × 8,767.28
  4. Step 4: Simplify right side
    10,486.64x = 137,927,901.03
  5. Step 5: Solve for x
    x = 137,927,901.03/10,486.64
  6. Step 6: Final answer
    x = 13,152.73

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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.