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Finding the Fourth Proportional to 22,549, 31,117.70 and 12,613

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Solution

The fourth proportional to 22,549, 31,117.70 and 12,613 is: 17,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549 : 31,117.70 = 12,613 : x
  2. Step 2: Convert to fraction form
    22,549/31,117.70 = 12,613/x
  3. Step 3: Cross multiply
    22,549x = 31,117.70 × 12,613
  4. Step 4: Simplify right side
    22,549x = 392,487,550.10
  5. Step 5: Solve for x
    x = 392,487,550.10/22,549
  6. Step 6: Final answer
    x = 17,405.98

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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.