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Finding the Fourth Proportional to 25,489.92, 38,220 and 9,889.32

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Solution

The fourth proportional to 25,489.92, 38,220 and 9,889.32 is: 14,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.92 : 38,220 = 9,889.32 : x
  2. Step 2: Convert to fraction form
    25,489.92/38,220 = 9,889.32/x
  3. Step 3: Cross multiply
    25,489.92x = 38,220 × 9,889.32
  4. Step 4: Simplify right side
    25,489.92x = 377,969,810.40
  5. Step 5: Solve for x
    x = 377,969,810.40/25,489.92
  6. Step 6: Final answer
    x = 14,828.21

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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.