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Finding the Fourth Proportional to 25,656.57, 38,489.72 and 8,128.98

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Solution

The fourth proportional to 25,656.57, 38,489.72 and 8,128.98 is: 12,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.57 : 38,489.72 = 8,128.98 : x
  2. Step 2: Convert to fraction form
    25,656.57/38,489.72 = 8,128.98/x
  3. Step 3: Cross multiply
    25,656.57x = 38,489.72 × 8,128.98
  4. Step 4: Simplify right side
    25,656.57x = 312,882,123.44
  5. Step 5: Solve for x
    x = 312,882,123.44/25,656.57
  6. Step 6: Final answer
    x = 12,195.01

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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.