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Finding the Fourth Proportional to 19,753.87, 29,642.49 and 7,282.65

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Solution

The fourth proportional to 19,753.87, 29,642.49 and 7,282.65 is: 10,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.87 : 29,642.49 = 7,282.65 : x
  2. Step 2: Convert to fraction form
    19,753.87/29,642.49 = 7,282.65/x
  3. Step 3: Cross multiply
    19,753.87x = 29,642.49 × 7,282.65
  4. Step 4: Simplify right side
    19,753.87x = 215,875,879.80
  5. Step 5: Solve for x
    x = 215,875,879.80/19,753.87
  6. Step 6: Final answer
    x = 10,928.28

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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.