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Finding the Fourth Proportional to 3,011.74, 4,517.61 and 1,978.29

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Solution

The fourth proportional to 3,011.74, 4,517.61 and 1,978.29 is: 2,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.74 : 4,517.61 = 1,978.29 : x
  2. Step 2: Convert to fraction form
    3,011.74/4,517.61 = 1,978.29/x
  3. Step 3: Cross multiply
    3,011.74x = 4,517.61 × 1,978.29
  4. Step 4: Simplify right side
    3,011.74x = 8,937,120.10
  5. Step 5: Solve for x
    x = 8,937,120.10/3,011.74
  6. Step 6: Final answer
    x = 2,967.43

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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.