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Finding the Fourth Proportional to 9,142.03, 13,713.54 and 2,902.53

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Solution

The fourth proportional to 9,142.03, 13,713.54 and 2,902.53 is: 4,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.03 : 13,713.54 = 2,902.53 : x
  2. Step 2: Convert to fraction form
    9,142.03/13,713.54 = 2,902.53/x
  3. Step 3: Cross multiply
    9,142.03x = 13,713.54 × 2,902.53
  4. Step 4: Simplify right side
    9,142.03x = 39,804,001.80
  5. Step 5: Solve for x
    x = 39,804,001.80/9,142.03
  6. Step 6: Final answer
    x = 4,353.96

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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.