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Finding the Fourth Proportional to 22,489.41, 31,035.18 and 12,280.41

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Solution

The fourth proportional to 22,489.41, 31,035.18 and 12,280.41 is: 16,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.41 : 31,035.18 = 12,280.41 : x
  2. Step 2: Convert to fraction form
    22,489.41/31,035.18 = 12,280.41/x
  3. Step 3: Cross multiply
    22,489.41x = 31,035.18 × 12,280.41
  4. Step 4: Simplify right side
    22,489.41x = 381,124,734.82
  5. Step 5: Solve for x
    x = 381,124,734.82/22,489.41
  6. Step 6: Final answer
    x = 16,946.85

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1.5x scale

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.