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Finding the Fourth Proportional to 25,607, 35,337.68 and 13,831

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Solution

The fourth proportional to 25,607, 35,337.68 and 13,831 is: 19,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607 : 35,337.68 = 13,831 : x
  2. Step 2: Convert to fraction form
    25,607/35,337.68 = 13,831/x
  3. Step 3: Cross multiply
    25,607x = 35,337.68 × 13,831
  4. Step 4: Simplify right side
    25,607x = 488,755,452.08
  5. Step 5: Solve for x
    x = 488,755,452.08/25,607
  6. Step 6: Final answer
    x = 19,086.79

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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.