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Finding the Fourth Proportional to 7,231.60, 10,847.40 and 6,140.80

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Solution

The fourth proportional to 7,231.60, 10,847.40 and 6,140.80 is: 9,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.60 : 10,847.40 = 6,140.80 : x
  2. Step 2: Convert to fraction form
    7,231.60/10,847.40 = 6,140.80/x
  3. Step 3: Cross multiply
    7,231.60x = 10,847.40 × 6,140.80
  4. Step 4: Simplify right side
    7,231.60x = 66,611,713.92
  5. Step 5: Solve for x
    x = 66,611,713.92/7,231.60
  6. Step 6: Final answer
    x = 9,211.20

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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.