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Finding the Fourth Proportional to 6,461.20, 9,670.20 and 4,517.20

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Solution

The fourth proportional to 6,461.20, 9,670.20 and 4,517.20 is: 6,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.20 : 9,670.20 = 4,517.20 : x
  2. Step 2: Convert to fraction form
    6,461.20/9,670.20 = 4,517.20/x
  3. Step 3: Cross multiply
    6,461.20x = 9,670.20 × 4,517.20
  4. Step 4: Simplify right side
    6,461.20x = 43,682,227.44
  5. Step 5: Solve for x
    x = 43,682,227.44/6,461.20
  6. Step 6: Final answer
    x = 6,760.70

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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.