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Finding the Fourth Proportional to 25,642.74, 38,471.94 and 12,493.20

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Solution

The fourth proportional to 25,642.74, 38,471.94 and 12,493.20 is: 18,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.74 : 38,471.94 = 12,493.20 : x
  2. Step 2: Convert to fraction form
    25,642.74/38,471.94 = 12,493.20/x
  3. Step 3: Cross multiply
    25,642.74x = 38,471.94 × 12,493.20
  4. Step 4: Simplify right side
    25,642.74x = 480,637,640.81
  5. Step 5: Solve for x
    x = 480,637,640.81/25,642.74
  6. Step 6: Final answer
    x = 18,743.61

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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.