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Finding the Fourth Proportional to 4,489.68, 6,733.44 and 2,148.24

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Solution

The fourth proportional to 4,489.68, 6,733.44 and 2,148.24 is: 3,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.68 : 6,733.44 = 2,148.24 : x
  2. Step 2: Convert to fraction form
    4,489.68/6,733.44 = 2,148.24/x
  3. Step 3: Cross multiply
    4,489.68x = 6,733.44 × 2,148.24
  4. Step 4: Simplify right side
    4,489.68x = 14,465,045.15
  5. Step 5: Solve for x
    x = 14,465,045.15/4,489.68
  6. Step 6: Final answer
    x = 3,221.84

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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.