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Finding the Fourth Proportional to 25,860, 38,797.56 and 9,221.39

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Solution

The fourth proportional to 25,860, 38,797.56 and 9,221.39 is: 13,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860 : 38,797.56 = 9,221.39 : x
  2. Step 2: Convert to fraction form
    25,860/38,797.56 = 9,221.39/x
  3. Step 3: Cross multiply
    25,860x = 38,797.56 × 9,221.39
  4. Step 4: Simplify right side
    25,860x = 357,767,237.82
  5. Step 5: Solve for x
    x = 357,767,237.82/25,860
  6. Step 6: Final answer
    x = 13,834.77

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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.