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Finding the Fourth Proportional to 7,731.10, 11,596.65 and 7,666.30

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Solution

The fourth proportional to 7,731.10, 11,596.65 and 7,666.30 is: 11,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.10 : 11,596.65 = 7,666.30 : x
  2. Step 2: Convert to fraction form
    7,731.10/11,596.65 = 7,666.30/x
  3. Step 3: Cross multiply
    7,731.10x = 11,596.65 × 7,666.30
  4. Step 4: Simplify right side
    7,731.10x = 88,903,397.90
  5. Step 5: Solve for x
    x = 88,903,397.90/7,731.10
  6. Step 6: Final answer
    x = 11,499.45

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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.