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Finding the Fourth Proportional to 19,631, 29,447.04 and 4,839.86

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Solution

The fourth proportional to 19,631, 29,447.04 and 4,839.86 is: 7,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631 : 29,447.04 = 4,839.86 : x
  2. Step 2: Convert to fraction form
    19,631/29,447.04 = 4,839.86/x
  3. Step 3: Cross multiply
    19,631x = 29,447.04 × 4,839.86
  4. Step 4: Simplify right side
    19,631x = 142,519,551.01
  5. Step 5: Solve for x
    x = 142,519,551.01/19,631
  6. Step 6: Final answer
    x = 7,259.92

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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.