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Finding the Fourth Proportional to 5,871.12, 8,102.52 and 4,278.12

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Solution

The fourth proportional to 5,871.12, 8,102.52 and 4,278.12 is: 5,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.12 : 8,102.52 = 4,278.12 : x
  2. Step 2: Convert to fraction form
    5,871.12/8,102.52 = 4,278.12/x
  3. Step 3: Cross multiply
    5,871.12x = 8,102.52 × 4,278.12
  4. Step 4: Simplify right side
    5,871.12x = 34,663,552.86
  5. Step 5: Solve for x
    x = 34,663,552.86/5,871.12
  6. Step 6: Final answer
    x = 5,904.08

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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.