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Finding the Fourth Proportional to 7,006.80, 9,663.92 and 4,489.15

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Solution

The fourth proportional to 7,006.80, 9,663.92 and 4,489.15 is: 6,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.80 : 9,663.92 = 4,489.15 : x
  2. Step 2: Convert to fraction form
    7,006.80/9,663.92 = 4,489.15/x
  3. Step 3: Cross multiply
    7,006.80x = 9,663.92 × 4,489.15
  4. Step 4: Simplify right side
    7,006.80x = 43,382,726.93
  5. Step 5: Solve for x
    x = 43,382,726.93/7,006.80
  6. Step 6: Final answer
    x = 6,191.52

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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.