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Finding the Fourth Proportional to 22,622, 31,218.36 and 13,188.74

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Solution

The fourth proportional to 22,622, 31,218.36 and 13,188.74 is: 18,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622 : 31,218.36 = 13,188.74 : x
  2. Step 2: Convert to fraction form
    22,622/31,218.36 = 13,188.74/x
  3. Step 3: Cross multiply
    22,622x = 31,218.36 × 13,188.74
  4. Step 4: Simplify right side
    22,622x = 411,730,833.27
  5. Step 5: Solve for x
    x = 411,730,833.27/22,622
  6. Step 6: Final answer
    x = 18,200.46

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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.