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Finding the Fourth Proportional to 2,510.80, 3,766.20 and 686.80

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Solution

The fourth proportional to 2,510.80, 3,766.20 and 686.80 is: 1,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.80 : 3,766.20 = 686.80 : x
  2. Step 2: Convert to fraction form
    2,510.80/3,766.20 = 686.80/x
  3. Step 3: Cross multiply
    2,510.80x = 3,766.20 × 686.80
  4. Step 4: Simplify right side
    2,510.80x = 2,586,626.16
  5. Step 5: Solve for x
    x = 2,586,626.16/2,510.80
  6. Step 6: Final answer
    x = 1,030.20

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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.