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Finding the Fourth Proportional to 5,471.68, 8,219.04 and 3,421.12

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Solution

The fourth proportional to 5,471.68, 8,219.04 and 3,421.12 is: 5,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.68 : 8,219.04 = 3,421.12 : x
  2. Step 2: Convert to fraction form
    5,471.68/8,219.04 = 3,421.12/x
  3. Step 3: Cross multiply
    5,471.68x = 8,219.04 × 3,421.12
  4. Step 4: Simplify right side
    5,471.68x = 28,118,322.12
  5. Step 5: Solve for x
    x = 28,118,322.12/5,471.68
  6. Step 6: Final answer
    x = 5,138.88

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1.5x scale

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.