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Finding the Fourth Proportional to 25,996, 38,998.05 and 8,461.69

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Solution

The fourth proportional to 25,996, 38,998.05 and 8,461.69 is: 12,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996 : 38,998.05 = 8,461.69 : x
  2. Step 2: Convert to fraction form
    25,996/38,998.05 = 8,461.69/x
  3. Step 3: Cross multiply
    25,996x = 38,998.05 × 8,461.69
  4. Step 4: Simplify right side
    25,996x = 329,989,409.70
  5. Step 5: Solve for x
    x = 329,989,409.70/25,996
  6. Step 6: Final answer
    x = 12,693.85

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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.