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Finding the Fourth Proportional to 25,035, 34,548.30 and 13,857

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Solution

The fourth proportional to 25,035, 34,548.30 and 13,857 is: 19,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,035 : 34,548.30 = 13,857 : x
  2. Step 2: Convert to fraction form
    25,035/34,548.30 = 13,857/x
  3. Step 3: Cross multiply
    25,035x = 34,548.30 × 13,857
  4. Step 4: Simplify right side
    25,035x = 478,735,793.10
  5. Step 5: Solve for x
    x = 478,735,793.10/25,035
  6. Step 6: Final answer
    x = 19,122.66

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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.