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Finding the Fourth Proportional to 6,691.90, 9,234.90 and 3,707.77

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Solution

The fourth proportional to 6,691.90, 9,234.90 and 3,707.77 is: 5,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.90 : 9,234.90 = 3,707.77 : x
  2. Step 2: Convert to fraction form
    6,691.90/9,234.90 = 3,707.77/x
  3. Step 3: Cross multiply
    6,691.90x = 9,234.90 × 3,707.77
  4. Step 4: Simplify right side
    6,691.90x = 34,240,885.17
  5. Step 5: Solve for x
    x = 34,240,885.17/6,691.90
  6. Step 6: Final answer
    x = 5,116.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.