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Finding the Fourth Proportional to 3,891.68, 5,837.80 and 1,223.04

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Solution

The fourth proportional to 3,891.68, 5,837.80 and 1,223.04 is: 1,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.68 : 5,837.80 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    3,891.68/5,837.80 = 1,223.04/x
  3. Step 3: Cross multiply
    3,891.68x = 5,837.80 × 1,223.04
  4. Step 4: Simplify right side
    3,891.68x = 7,139,862.91
  5. Step 5: Solve for x
    x = 7,139,862.91/3,891.68
  6. Step 6: Final answer
    x = 1,834.65

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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.