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Finding the Fourth Proportional to 8,357, 11,532.66 and 4,631

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Solution

The fourth proportional to 8,357, 11,532.66 and 4,631 is: 6,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 11,532.66 = 4,631 : x
  2. Step 2: Convert to fraction form
    8,357/11,532.66 = 4,631/x
  3. Step 3: Cross multiply
    8,357x = 11,532.66 × 4,631
  4. Step 4: Simplify right side
    8,357x = 53,407,748.46
  5. Step 5: Solve for x
    x = 53,407,748.46/8,357
  6. Step 6: Final answer
    x = 6,390.78

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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.