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Finding the Fourth Proportional to 5,104.40, 7,640.40 and 4,002.80

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Solution

The fourth proportional to 5,104.40, 7,640.40 and 4,002.80 is: 5,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.40 : 7,640.40 = 4,002.80 : x
  2. Step 2: Convert to fraction form
    5,104.40/7,640.40 = 4,002.80/x
  3. Step 3: Cross multiply
    5,104.40x = 7,640.40 × 4,002.80
  4. Step 4: Simplify right side
    5,104.40x = 30,582,993.12
  5. Step 5: Solve for x
    x = 30,582,993.12/5,104.40
  6. Step 6: Final answer
    x = 5,991.50

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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.