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Finding the Fourth Proportional to 15,650, 21,597 and 8,576.70

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Solution

The fourth proportional to 15,650, 21,597 and 8,576.70 is: 11,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650 : 21,597 = 8,576.70 : x
  2. Step 2: Convert to fraction form
    15,650/21,597 = 8,576.70/x
  3. Step 3: Cross multiply
    15,650x = 21,597 × 8,576.70
  4. Step 4: Simplify right side
    15,650x = 185,230,989.90
  5. Step 5: Solve for x
    x = 185,230,989.90/15,650
  6. Step 6: Final answer
    x = 11,835.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.