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Finding the Fourth Proportional to 22,936.60, 34,407.60 and 8,142.40

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Solution

The fourth proportional to 22,936.60, 34,407.60 and 8,142.40 is: 12,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.60 : 34,407.60 = 8,142.40 : x
  2. Step 2: Convert to fraction form
    22,936.60/34,407.60 = 8,142.40/x
  3. Step 3: Cross multiply
    22,936.60x = 34,407.60 × 8,142.40
  4. Step 4: Simplify right side
    22,936.60x = 280,160,442.24
  5. Step 5: Solve for x
    x = 280,160,442.24/22,936.60
  6. Step 6: Final answer
    x = 12,214.56

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1.5x scale

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.