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Finding the Fourth Proportional to 9,974.79, 14,963.13 and 4,780.71

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Solution

The fourth proportional to 9,974.79, 14,963.13 and 4,780.71 is: 7,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.79 : 14,963.13 = 4,780.71 : x
  2. Step 2: Convert to fraction form
    9,974.79/14,963.13 = 4,780.71/x
  3. Step 3: Cross multiply
    9,974.79x = 14,963.13 × 4,780.71
  4. Step 4: Simplify right side
    9,974.79x = 71,534,385.22
  5. Step 5: Solve for x
    x = 71,534,385.22/9,974.79
  6. Step 6: Final answer
    x = 7,171.52

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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.