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Finding the Fourth Proportional to 25,912.89, 38,875.01 and 8,382.47

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Solution

The fourth proportional to 25,912.89, 38,875.01 and 8,382.47 is: 12,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.89 : 38,875.01 = 8,382.47 : x
  2. Step 2: Convert to fraction form
    25,912.89/38,875.01 = 8,382.47/x
  3. Step 3: Cross multiply
    25,912.89x = 38,875.01 × 8,382.47
  4. Step 4: Simplify right side
    25,912.89x = 325,868,368.79
  5. Step 5: Solve for x
    x = 325,868,368.79/25,912.89
  6. Step 6: Final answer
    x = 12,575.53

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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.