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Finding the Fourth Proportional to 2,510.90, 3,766.43 and 867.54

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Solution

The fourth proportional to 2,510.90, 3,766.43 and 867.54 is: 1,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.90 : 3,766.43 = 867.54 : x
  2. Step 2: Convert to fraction form
    2,510.90/3,766.43 = 867.54/x
  3. Step 3: Cross multiply
    2,510.90x = 3,766.43 × 867.54
  4. Step 4: Simplify right side
    2,510.90x = 3,267,528.68
  5. Step 5: Solve for x
    x = 3,267,528.68/2,510.90
  6. Step 6: Final answer
    x = 1,301.34

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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.