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Finding the Fourth Proportional to 25,860.64, 38,789.70 and 8,330.08

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Solution

The fourth proportional to 25,860.64, 38,789.70 and 8,330.08 is: 12,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.64 : 38,789.70 = 8,330.08 : x
  2. Step 2: Convert to fraction form
    25,860.64/38,789.70 = 8,330.08/x
  3. Step 3: Cross multiply
    25,860.64x = 38,789.70 × 8,330.08
  4. Step 4: Simplify right side
    25,860.64x = 323,121,304.18
  5. Step 5: Solve for x
    x = 323,121,304.18/25,860.64
  6. Step 6: Final answer
    x = 12,494.71

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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.