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Finding the Fourth Proportional to 7,532.60, 11,300.10 and 3,147.80

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Solution

The fourth proportional to 7,532.60, 11,300.10 and 3,147.80 is: 4,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.60 : 11,300.10 = 3,147.80 : x
  2. Step 2: Convert to fraction form
    7,532.60/11,300.10 = 3,147.80/x
  3. Step 3: Cross multiply
    7,532.60x = 11,300.10 × 3,147.80
  4. Step 4: Simplify right side
    7,532.60x = 35,570,454.78
  5. Step 5: Solve for x
    x = 35,570,454.78/7,532.60
  6. Step 6: Final answer
    x = 4,722.20

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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.