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Finding the Fourth Proportional to 13,542.83, 18,693.11 and 7,880.14

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Solution

The fourth proportional to 13,542.83, 18,693.11 and 7,880.14 is: 10,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.83 : 18,693.11 = 7,880.14 : x
  2. Step 2: Convert to fraction form
    13,542.83/18,693.11 = 7,880.14/x
  3. Step 3: Cross multiply
    13,542.83x = 18,693.11 × 7,880.14
  4. Step 4: Simplify right side
    13,542.83x = 147,304,261.75
  5. Step 5: Solve for x
    x = 147,304,261.75/13,542.83
  6. Step 6: Final answer
    x = 10,876.92

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1.5x scale

Why These Related Problems?

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