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Finding the Fourth Proportional to 3,871.79, 5,345.28 and 2,694.46

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Solution

The fourth proportional to 3,871.79, 5,345.28 and 2,694.46 is: 3,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.79 : 5,345.28 = 2,694.46 : x
  2. Step 2: Convert to fraction form
    3,871.79/5,345.28 = 2,694.46/x
  3. Step 3: Cross multiply
    3,871.79x = 5,345.28 × 2,694.46
  4. Step 4: Simplify right side
    3,871.79x = 14,402,643.15
  5. Step 5: Solve for x
    x = 14,402,643.15/3,871.79
  6. Step 6: Final answer
    x = 3,719.89

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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.