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Finding the Fourth Proportional to 3,888.83, 5,834.42 and 2,039.72

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Solution

The fourth proportional to 3,888.83, 5,834.42 and 2,039.72 is: 3,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.83 : 5,834.42 = 2,039.72 : x
  2. Step 2: Convert to fraction form
    3,888.83/5,834.42 = 2,039.72/x
  3. Step 3: Cross multiply
    3,888.83x = 5,834.42 × 2,039.72
  4. Step 4: Simplify right side
    3,888.83x = 11,900,543.79
  5. Step 5: Solve for x
    x = 11,900,543.79/3,888.83
  6. Step 6: Final answer
    x = 3,060.19

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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.