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Finding the Fourth Proportional to 22,584, 31,167 and 13,631.34

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Solution

The fourth proportional to 22,584, 31,167 and 13,631.34 is: 18,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584 : 31,167 = 13,631.34 : x
  2. Step 2: Convert to fraction form
    22,584/31,167 = 13,631.34/x
  3. Step 3: Cross multiply
    22,584x = 31,167 × 13,631.34
  4. Step 4: Simplify right side
    22,584x = 424,847,973.78
  5. Step 5: Solve for x
    x = 424,847,973.78/22,584
  6. Step 6: Final answer
    x = 18,811.90

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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.