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Finding the Fourth Proportional to 14,076, 21,098.76 and 9,149.16

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Solution

The fourth proportional to 14,076, 21,098.76 and 9,149.16 is: 13,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 21,098.76 = 9,149.16 : x
  2. Step 2: Convert to fraction form
    14,076/21,098.76 = 9,149.16/x
  3. Step 3: Cross multiply
    14,076x = 21,098.76 × 9,149.16
  4. Step 4: Simplify right side
    14,076x = 193,035,931.04
  5. Step 5: Solve for x
    x = 193,035,931.04/14,076
  6. Step 6: Final answer
    x = 13,713.83

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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.