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Finding the Fourth Proportional to 22,624, 31,221.12 and 13,190.74

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Solution

The fourth proportional to 22,624, 31,221.12 and 13,190.74 is: 18,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624 : 31,221.12 = 13,190.74 : x
  2. Step 2: Convert to fraction form
    22,624/31,221.12 = 13,190.74/x
  3. Step 3: Cross multiply
    22,624x = 31,221.12 × 13,190.74
  4. Step 4: Simplify right side
    22,624x = 411,829,676.43
  5. Step 5: Solve for x
    x = 411,829,676.43/22,624
  6. Step 6: Final answer
    x = 18,203.22

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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.