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Finding the Fourth Proportional to 25,310.34, 37,966.05 and 8,689.50

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Solution

The fourth proportional to 25,310.34, 37,966.05 and 8,689.50 is: 13,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.34 : 37,966.05 = 8,689.50 : x
  2. Step 2: Convert to fraction form
    25,310.34/37,966.05 = 8,689.50/x
  3. Step 3: Cross multiply
    25,310.34x = 37,966.05 × 8,689.50
  4. Step 4: Simplify right side
    25,310.34x = 329,905,991.48
  5. Step 5: Solve for x
    x = 329,905,991.48/25,310.34
  6. Step 6: Final answer
    x = 13,034.44

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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.