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Finding the Fourth Proportional to 6,510.20, 9,766.20 and 2,560.70

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Solution

The fourth proportional to 6,510.20, 9,766.20 and 2,560.70 is: 3,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.20 : 9,766.20 = 2,560.70 : x
  2. Step 2: Convert to fraction form
    6,510.20/9,766.20 = 2,560.70/x
  3. Step 3: Cross multiply
    6,510.20x = 9,766.20 × 2,560.70
  4. Step 4: Simplify right side
    6,510.20x = 25,008,308.34
  5. Step 5: Solve for x
    x = 25,008,308.34/6,510.20
  6. Step 6: Final answer
    x = 3,841.40

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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.