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Finding the Fourth Proportional to 6,131.40, 9,221.40 and 5,499.60

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Solution

The fourth proportional to 6,131.40, 9,221.40 and 5,499.60 is: 8,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.40 : 9,221.40 = 5,499.60 : x
  2. Step 2: Convert to fraction form
    6,131.40/9,221.40 = 5,499.60/x
  3. Step 3: Cross multiply
    6,131.40x = 9,221.40 × 5,499.60
  4. Step 4: Simplify right side
    6,131.40x = 50,714,011.44
  5. Step 5: Solve for x
    x = 50,714,011.44/6,131.40
  6. Step 6: Final answer
    x = 8,271.20

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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.