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Finding the Fourth Proportional to 22,613, 31,205.94 and 13,179.74

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Solution

The fourth proportional to 22,613, 31,205.94 and 13,179.74 is: 18,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613 : 31,205.94 = 13,179.74 : x
  2. Step 2: Convert to fraction form
    22,613/31,205.94 = 13,179.74/x
  3. Step 3: Cross multiply
    22,613x = 31,205.94 × 13,179.74
  4. Step 4: Simplify right side
    22,613x = 411,286,175.66
  5. Step 5: Solve for x
    x = 411,286,175.66/22,613
  6. Step 6: Final answer
    x = 18,188.04

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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.