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Finding the Fourth Proportional to 25,054.40, 34,575 and 13,876.40

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Solution

The fourth proportional to 25,054.40, 34,575 and 13,876.40 is: 19,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.40 : 34,575 = 13,876.40 : x
  2. Step 2: Convert to fraction form
    25,054.40/34,575 = 13,876.40/x
  3. Step 3: Cross multiply
    25,054.40x = 34,575 × 13,876.40
  4. Step 4: Simplify right side
    25,054.40x = 479,776,530
  5. Step 5: Solve for x
    x = 479,776,530/25,054.40
  6. Step 6: Final answer
    x = 19,149.39

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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.