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Finding the Fourth Proportional to 25,472, 38,213.44 and 9,889.60

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Solution

The fourth proportional to 25,472, 38,213.44 and 9,889.60 is: 14,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472 : 38,213.44 = 9,889.60 : x
  2. Step 2: Convert to fraction form
    25,472/38,213.44 = 9,889.60/x
  3. Step 3: Cross multiply
    25,472x = 38,213.44 × 9,889.60
  4. Step 4: Simplify right side
    25,472x = 377,915,636.22
  5. Step 5: Solve for x
    x = 377,915,636.22/25,472
  6. Step 6: Final answer
    x = 14,836.51

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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.