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Finding the Fourth Proportional to 3,871.59, 5,342.79 and 2,103.19

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Solution

The fourth proportional to 3,871.59, 5,342.79 and 2,103.19 is: 2,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.59 : 5,342.79 = 2,103.19 : x
  2. Step 2: Convert to fraction form
    3,871.59/5,342.79 = 2,103.19/x
  3. Step 3: Cross multiply
    3,871.59x = 5,342.79 × 2,103.19
  4. Step 4: Simplify right side
    3,871.59x = 11,236,875.79
  5. Step 5: Solve for x
    x = 11,236,875.79/3,871.59
  6. Step 6: Final answer
    x = 2,902.39

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1.5x scale

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.