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Finding the Fourth Proportional to 9,985.38, 14,952.48 and 9,689.75

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Solution

The fourth proportional to 9,985.38, 14,952.48 and 9,689.75 is: 14,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.38 : 14,952.48 = 9,689.75 : x
  2. Step 2: Convert to fraction form
    9,985.38/14,952.48 = 9,689.75/x
  3. Step 3: Cross multiply
    9,985.38x = 14,952.48 × 9,689.75
  4. Step 4: Simplify right side
    9,985.38x = 144,885,793.08
  5. Step 5: Solve for x
    x = 144,885,793.08/9,985.38
  6. Step 6: Final answer
    x = 14,509.79

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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.