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Finding the Fourth Proportional to 19,758.62, 29,649.62 and 7,287.41

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Solution

The fourth proportional to 19,758.62, 29,649.62 and 7,287.41 is: 10,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.62 : 29,649.62 = 7,287.41 : x
  2. Step 2: Convert to fraction form
    19,758.62/29,649.62 = 7,287.41/x
  3. Step 3: Cross multiply
    19,758.62x = 29,649.62 × 7,287.41
  4. Step 4: Simplify right side
    19,758.62x = 216,068,937.28
  5. Step 5: Solve for x
    x = 216,068,937.28/19,758.62
  6. Step 6: Final answer
    x = 10,935.43

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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.