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Finding the Fourth Proportional to 5,328.38, 7,984.37 and 3,134.70

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Solution

The fourth proportional to 5,328.38, 7,984.37 and 3,134.70 is: 4,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.38 : 7,984.37 = 3,134.70 : x
  2. Step 2: Convert to fraction form
    5,328.38/7,984.37 = 3,134.70/x
  3. Step 3: Cross multiply
    5,328.38x = 7,984.37 × 3,134.70
  4. Step 4: Simplify right side
    5,328.38x = 25,028,612.48
  5. Step 5: Solve for x
    x = 25,028,612.48/5,328.38
  6. Step 6: Final answer
    x = 4,697.23

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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.