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Finding the Fourth Proportional to 11,357, 15,672.66 and 6,389

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Solution

The fourth proportional to 11,357, 15,672.66 and 6,389 is: 8,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357 : 15,672.66 = 6,389 : x
  2. Step 2: Convert to fraction form
    11,357/15,672.66 = 6,389/x
  3. Step 3: Cross multiply
    11,357x = 15,672.66 × 6,389
  4. Step 4: Simplify right side
    11,357x = 100,132,624.74
  5. Step 5: Solve for x
    x = 100,132,624.74/11,357
  6. Step 6: Final answer
    x = 8,816.82

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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.