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Finding the Fourth Proportional to 4,074, 5,622.12 and 2,679.24

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Solution

The fourth proportional to 4,074, 5,622.12 and 2,679.24 is: 3,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074 : 5,622.12 = 2,679.24 : x
  2. Step 2: Convert to fraction form
    4,074/5,622.12 = 2,679.24/x
  3. Step 3: Cross multiply
    4,074x = 5,622.12 × 2,679.24
  4. Step 4: Simplify right side
    4,074x = 15,063,008.79
  5. Step 5: Solve for x
    x = 15,063,008.79/4,074
  6. Step 6: Final answer
    x = 3,697.35

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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.