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Finding the Fourth Proportional to 5,151.66, 7,721.01 and 3,693.66

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Solution

The fourth proportional to 5,151.66, 7,721.01 and 3,693.66 is: 5,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.66 : 7,721.01 = 3,693.66 : x
  2. Step 2: Convert to fraction form
    5,151.66/7,721.01 = 3,693.66/x
  3. Step 3: Cross multiply
    5,151.66x = 7,721.01 × 3,693.66
  4. Step 4: Simplify right side
    5,151.66x = 28,518,785.80
  5. Step 5: Solve for x
    x = 28,518,785.80/5,151.66
  6. Step 6: Final answer
    x = 5,535.84

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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.