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Finding the Fourth Proportional to 22,658.50, 31,270.96 and 13,098.80

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Solution

The fourth proportional to 22,658.50, 31,270.96 and 13,098.80 is: 18,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.50 : 31,270.96 = 13,098.80 : x
  2. Step 2: Convert to fraction form
    22,658.50/31,270.96 = 13,098.80/x
  3. Step 3: Cross multiply
    22,658.50x = 31,270.96 × 13,098.80
  4. Step 4: Simplify right side
    22,658.50x = 409,612,050.85
  5. Step 5: Solve for x
    x = 409,612,050.85/22,658.50
  6. Step 6: Final answer
    x = 18,077.63

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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.