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Finding the Fourth Proportional to 5,219.59, 7,829.60 and 1,324.11

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Solution

The fourth proportional to 5,219.59, 7,829.60 and 1,324.11 is: 1,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.59 : 7,829.60 = 1,324.11 : x
  2. Step 2: Convert to fraction form
    5,219.59/7,829.60 = 1,324.11/x
  3. Step 3: Cross multiply
    5,219.59x = 7,829.60 × 1,324.11
  4. Step 4: Simplify right side
    5,219.59x = 10,367,251.66
  5. Step 5: Solve for x
    x = 10,367,251.66/5,219.59
  6. Step 6: Final answer
    x = 1,986.22

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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.