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Finding the Fourth Proportional to 11,503.62, 15,877.62 and 8,142.93

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Solution

The fourth proportional to 11,503.62, 15,877.62 and 8,142.93 is: 11,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.62 : 15,877.62 = 8,142.93 : x
  2. Step 2: Convert to fraction form
    11,503.62/15,877.62 = 8,142.93/x
  3. Step 3: Cross multiply
    11,503.62x = 15,877.62 × 8,142.93
  4. Step 4: Simplify right side
    11,503.62x = 129,290,348.23
  5. Step 5: Solve for x
    x = 129,290,348.23/11,503.62
  6. Step 6: Final answer
    x = 11,239.10

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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.