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Finding the Fourth Proportional to 25,878.32, 38,817.47 and 8,348.15

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Solution

The fourth proportional to 25,878.32, 38,817.47 and 8,348.15 is: 12,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.32 : 38,817.47 = 8,348.15 : x
  2. Step 2: Convert to fraction form
    25,878.32/38,817.47 = 8,348.15/x
  3. Step 3: Cross multiply
    25,878.32x = 38,817.47 × 8,348.15
  4. Step 4: Simplify right side
    25,878.32x = 324,053,938.27
  5. Step 5: Solve for x
    x = 324,053,938.27/25,878.32
  6. Step 6: Final answer
    x = 12,522.22

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1.5x scale

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.