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Finding the Fourth Proportional to 4,650.66, 6,976.13 and 1,187.91

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Solution

The fourth proportional to 4,650.66, 6,976.13 and 1,187.91 is: 1,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.66 : 6,976.13 = 1,187.91 : x
  2. Step 2: Convert to fraction form
    4,650.66/6,976.13 = 1,187.91/x
  3. Step 3: Cross multiply
    4,650.66x = 6,976.13 × 1,187.91
  4. Step 4: Simplify right side
    4,650.66x = 8,287,008.65
  5. Step 5: Solve for x
    x = 8,287,008.65/4,650.66
  6. Step 6: Final answer
    x = 1,781.90

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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.