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Finding the Fourth Proportional to 3,182.65, 4,772.45 and 991.39

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Solution

The fourth proportional to 3,182.65, 4,772.45 and 991.39 is: 1,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.65 : 4,772.45 = 991.39 : x
  2. Step 2: Convert to fraction form
    3,182.65/4,772.45 = 991.39/x
  3. Step 3: Cross multiply
    3,182.65x = 4,772.45 × 991.39
  4. Step 4: Simplify right side
    3,182.65x = 4,731,359.21
  5. Step 5: Solve for x
    x = 4,731,359.21/3,182.65
  6. Step 6: Final answer
    x = 1,486.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.