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Finding the Fourth Proportional to 6,407.20, 9,610.80 and 6,320.80

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Solution

The fourth proportional to 6,407.20, 9,610.80 and 6,320.80 is: 9,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.20 : 9,610.80 = 6,320.80 : x
  2. Step 2: Convert to fraction form
    6,407.20/9,610.80 = 6,320.80/x
  3. Step 3: Cross multiply
    6,407.20x = 9,610.80 × 6,320.80
  4. Step 4: Simplify right side
    6,407.20x = 60,747,944.64
  5. Step 5: Solve for x
    x = 60,747,944.64/6,407.20
  6. Step 6: Final answer
    x = 9,481.20

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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.