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Finding the Fourth Proportional to 5,328.44, 7,993.12 and 1,432.88

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Solution

The fourth proportional to 5,328.44, 7,993.12 and 1,432.88 is: 2,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.44 : 7,993.12 = 1,432.88 : x
  2. Step 2: Convert to fraction form
    5,328.44/7,993.12 = 1,432.88/x
  3. Step 3: Cross multiply
    5,328.44x = 7,993.12 × 1,432.88
  4. Step 4: Simplify right side
    5,328.44x = 11,453,181.79
  5. Step 5: Solve for x
    x = 11,453,181.79/5,328.44
  6. Step 6: Final answer
    x = 2,149.44

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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.