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Finding the Fourth Proportional to 22,551, 31,120.46 and 12,615

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Solution

The fourth proportional to 22,551, 31,120.46 and 12,615 is: 17,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551 : 31,120.46 = 12,615 : x
  2. Step 2: Convert to fraction form
    22,551/31,120.46 = 12,615/x
  3. Step 3: Cross multiply
    22,551x = 31,120.46 × 12,615
  4. Step 4: Simplify right side
    22,551x = 392,584,602.90
  5. Step 5: Solve for x
    x = 392,584,602.90/22,551
  6. Step 6: Final answer
    x = 17,408.74

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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.