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Finding the Fourth Proportional to 25,940, 38,916.48 and 7,472

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Solution

The fourth proportional to 25,940, 38,916.48 and 7,472 is: 11,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940 : 38,916.48 = 7,472 : x
  2. Step 2: Convert to fraction form
    25,940/38,916.48 = 7,472/x
  3. Step 3: Cross multiply
    25,940x = 38,916.48 × 7,472
  4. Step 4: Simplify right side
    25,940x = 290,783,938.56
  5. Step 5: Solve for x
    x = 290,783,938.56/25,940
  6. Step 6: Final answer
    x = 11,209.87

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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.