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Finding the Fourth Proportional to 10,132.98, 13,981.05 and 5,940.42

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Solution

The fourth proportional to 10,132.98, 13,981.05 and 5,940.42 is: 8,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.98 : 13,981.05 = 5,940.42 : x
  2. Step 2: Convert to fraction form
    10,132.98/13,981.05 = 5,940.42/x
  3. Step 3: Cross multiply
    10,132.98x = 13,981.05 × 5,940.42
  4. Step 4: Simplify right side
    10,132.98x = 83,053,309.04
  5. Step 5: Solve for x
    x = 83,053,309.04/10,132.98
  6. Step 6: Final answer
    x = 8,196.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.