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Finding the Fourth Proportional to 3,158.88, 4,359.05 and 1,742.57

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Solution

The fourth proportional to 3,158.88, 4,359.05 and 1,742.57 is: 2,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.88 : 4,359.05 = 1,742.57 : x
  2. Step 2: Convert to fraction form
    3,158.88/4,359.05 = 1,742.57/x
  3. Step 3: Cross multiply
    3,158.88x = 4,359.05 × 1,742.57
  4. Step 4: Simplify right side
    3,158.88x = 7,595,965.01
  5. Step 5: Solve for x
    x = 7,595,965.01/3,158.88
  6. Step 6: Final answer
    x = 2,404.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.