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Finding the Fourth Proportional to 5,647.50, 7,794.12 and 3,129.84

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Solution

The fourth proportional to 5,647.50, 7,794.12 and 3,129.84 is: 4,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.50 : 7,794.12 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    5,647.50/7,794.12 = 3,129.84/x
  3. Step 3: Cross multiply
    5,647.50x = 7,794.12 × 3,129.84
  4. Step 4: Simplify right side
    5,647.50x = 24,394,348.54
  5. Step 5: Solve for x
    x = 24,394,348.54/5,647.50
  6. Step 6: Final answer
    x = 4,319.50

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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.