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Finding the Fourth Proportional to 3,422.79, 5,134.19 and 2,643.93

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Solution

The fourth proportional to 3,422.79, 5,134.19 and 2,643.93 is: 3,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.79 : 5,134.19 = 2,643.93 : x
  2. Step 2: Convert to fraction form
    3,422.79/5,134.19 = 2,643.93/x
  3. Step 3: Cross multiply
    3,422.79x = 5,134.19 × 2,643.93
  4. Step 4: Simplify right side
    3,422.79x = 13,574,425.75
  5. Step 5: Solve for x
    x = 13,574,425.75/3,422.79
  6. Step 6: Final answer
    x = 3,965.90

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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.