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Finding the Fourth Proportional to 2,871.60, 4,308.20 and 1,141.44

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Solution

The fourth proportional to 2,871.60, 4,308.20 and 1,141.44 is: 1,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.60 : 4,308.20 = 1,141.44 : x
  2. Step 2: Convert to fraction form
    2,871.60/4,308.20 = 1,141.44/x
  3. Step 3: Cross multiply
    2,871.60x = 4,308.20 × 1,141.44
  4. Step 4: Simplify right side
    2,871.60x = 4,917,551.81
  5. Step 5: Solve for x
    x = 4,917,551.81/2,871.60
  6. Step 6: Final answer
    x = 1,712.48

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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.