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Finding the Fourth Proportional to 25,134.69, 34,686.23 and 13,805.21

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Solution

The fourth proportional to 25,134.69, 34,686.23 and 13,805.21 is: 19,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.69 : 34,686.23 = 13,805.21 : x
  2. Step 2: Convert to fraction form
    25,134.69/34,686.23 = 13,805.21/x
  3. Step 3: Cross multiply
    25,134.69x = 34,686.23 × 13,805.21
  4. Step 4: Simplify right side
    25,134.69x = 478,850,446.80
  5. Step 5: Solve for x
    x = 478,850,446.80/25,134.69
  6. Step 6: Final answer
    x = 19,051.38

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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.