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Finding the Fourth Proportional to 3,761.65, 5,643.42 and 1,913.77

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Solution

The fourth proportional to 3,761.65, 5,643.42 and 1,913.77 is: 2,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.65 : 5,643.42 = 1,913.77 : x
  2. Step 2: Convert to fraction form
    3,761.65/5,643.42 = 1,913.77/x
  3. Step 3: Cross multiply
    3,761.65x = 5,643.42 × 1,913.77
  4. Step 4: Simplify right side
    3,761.65x = 10,800,207.89
  5. Step 5: Solve for x
    x = 10,800,207.89/3,761.65
  6. Step 6: Final answer
    x = 2,871.14

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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.