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Finding the Fourth Proportional to 10,503.64, 15,757.68 and 8,784.28

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Solution

The fourth proportional to 10,503.64, 15,757.68 and 8,784.28 is: 13,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.64 : 15,757.68 = 8,784.28 : x
  2. Step 2: Convert to fraction form
    10,503.64/15,757.68 = 8,784.28/x
  3. Step 3: Cross multiply
    10,503.64x = 15,757.68 × 8,784.28
  4. Step 4: Simplify right side
    10,503.64x = 138,419,873.27
  5. Step 5: Solve for x
    x = 138,419,873.27/10,503.64
  6. Step 6: Final answer
    x = 13,178.28

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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.