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Finding the Fourth Proportional to 12,357, 17,052.66 and 7,389

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Solution

The fourth proportional to 12,357, 17,052.66 and 7,389 is: 10,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357 : 17,052.66 = 7,389 : x
  2. Step 2: Convert to fraction form
    12,357/17,052.66 = 7,389/x
  3. Step 3: Cross multiply
    12,357x = 17,052.66 × 7,389
  4. Step 4: Simplify right side
    12,357x = 126,002,104.74
  5. Step 5: Solve for x
    x = 126,002,104.74/12,357
  6. Step 6: Final answer
    x = 10,196.82

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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.