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Finding the Fourth Proportional to 5,811.52, 8,019.12 and 3,452.80

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Solution

The fourth proportional to 5,811.52, 8,019.12 and 3,452.80 is: 4,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.52 : 8,019.12 = 3,452.80 : x
  2. Step 2: Convert to fraction form
    5,811.52/8,019.12 = 3,452.80/x
  3. Step 3: Cross multiply
    5,811.52x = 8,019.12 × 3,452.80
  4. Step 4: Simplify right side
    5,811.52x = 27,688,417.54
  5. Step 5: Solve for x
    x = 27,688,417.54/5,811.52
  6. Step 6: Final answer
    x = 4,764.40

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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.