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Finding the Fourth Proportional to 10,666.80, 15,967.80 and 9,500.40

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Solution

The fourth proportional to 10,666.80, 15,967.80 and 9,500.40 is: 14,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.80 : 15,967.80 = 9,500.40 : x
  2. Step 2: Convert to fraction form
    10,666.80/15,967.80 = 9,500.40/x
  3. Step 3: Cross multiply
    10,666.80x = 15,967.80 × 9,500.40
  4. Step 4: Simplify right side
    10,666.80x = 151,700,487.12
  5. Step 5: Solve for x
    x = 151,700,487.12/10,666.80
  6. Step 6: Final answer
    x = 14,221.74

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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.