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Finding the Fourth Proportional to 5,478.84, 8,221.86 and 4,013.52

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Solution

The fourth proportional to 5,478.84, 8,221.86 and 4,013.52 is: 6,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.84 : 8,221.86 = 4,013.52 : x
  2. Step 2: Convert to fraction form
    5,478.84/8,221.86 = 4,013.52/x
  3. Step 3: Cross multiply
    5,478.84x = 8,221.86 × 4,013.52
  4. Step 4: Simplify right side
    5,478.84x = 32,998,599.55
  5. Step 5: Solve for x
    x = 32,998,599.55/5,478.84
  6. Step 6: Final answer
    x = 6,022.92

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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.