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Finding the Fourth Proportional to 10,972.89, 16,454.48 and 7,881.93

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Solution

The fourth proportional to 10,972.89, 16,454.48 and 7,881.93 is: 11,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.89 : 16,454.48 = 7,881.93 : x
  2. Step 2: Convert to fraction form
    10,972.89/16,454.48 = 7,881.93/x
  3. Step 3: Cross multiply
    10,972.89x = 16,454.48 × 7,881.93
  4. Step 4: Simplify right side
    10,972.89x = 129,693,020.14
  5. Step 5: Solve for x
    x = 129,693,020.14/10,972.89
  6. Step 6: Final answer
    x = 11,819.40

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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.