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Finding the Fourth Proportional to 9,691.28, 14,503.98 and 8,133.02

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Solution

The fourth proportional to 9,691.28, 14,503.98 and 8,133.02 is: 12,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.28 : 14,503.98 = 8,133.02 : x
  2. Step 2: Convert to fraction form
    9,691.28/14,503.98 = 8,133.02/x
  3. Step 3: Cross multiply
    9,691.28x = 14,503.98 × 8,133.02
  4. Step 4: Simplify right side
    9,691.28x = 117,961,159.42
  5. Step 5: Solve for x
    x = 117,961,159.42/9,691.28
  6. Step 6: Final answer
    x = 12,171.89

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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.