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Finding the Fourth Proportional to 18,311.40, 27,456.78 and 5,829.12

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Solution

The fourth proportional to 18,311.40, 27,456.78 and 5,829.12 is: 8,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.40 : 27,456.78 = 5,829.12 : x
  2. Step 2: Convert to fraction form
    18,311.40/27,456.78 = 5,829.12/x
  3. Step 3: Cross multiply
    18,311.40x = 27,456.78 × 5,829.12
  4. Step 4: Simplify right side
    18,311.40x = 160,048,865.43
  5. Step 5: Solve for x
    x = 160,048,865.43/18,311.40
  6. Step 6: Final answer
    x = 8,740.39

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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.