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Finding the Fourth Proportional to 5,871.12, 8,102.12 and 3,218.55

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Solution

The fourth proportional to 5,871.12, 8,102.12 and 3,218.55 is: 4,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.12 : 8,102.12 = 3,218.55 : x
  2. Step 2: Convert to fraction form
    5,871.12/8,102.12 = 3,218.55/x
  3. Step 3: Cross multiply
    5,871.12x = 8,102.12 × 3,218.55
  4. Step 4: Simplify right side
    5,871.12x = 26,077,062.23
  5. Step 5: Solve for x
    x = 26,077,062.23/5,871.12
  6. Step 6: Final answer
    x = 4,441.58

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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.