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Finding the Fourth Proportional to 12,423.57, 17,141.13 and 8,642.49

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Solution

The fourth proportional to 12,423.57, 17,141.13 and 8,642.49 is: 11,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.57 : 17,141.13 = 8,642.49 : x
  2. Step 2: Convert to fraction form
    12,423.57/17,141.13 = 8,642.49/x
  3. Step 3: Cross multiply
    12,423.57x = 17,141.13 × 8,642.49
  4. Step 4: Simplify right side
    12,423.57x = 148,142,044.61
  5. Step 5: Solve for x
    x = 148,142,044.61/12,423.57
  6. Step 6: Final answer
    x = 11,924.27

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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.