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Finding the Fourth Proportional to 9,930, 14,895.02 and 4,229.49

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Solution

The fourth proportional to 9,930, 14,895.02 and 4,229.49 is: 6,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930 : 14,895.02 = 4,229.49 : x
  2. Step 2: Convert to fraction form
    9,930/14,895.02 = 4,229.49/x
  3. Step 3: Cross multiply
    9,930x = 14,895.02 × 4,229.49
  4. Step 4: Simplify right side
    9,930x = 62,998,316.99
  5. Step 5: Solve for x
    x = 62,998,316.99/9,930
  6. Step 6: Final answer
    x = 6,344.24

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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.