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Finding the Fourth Proportional to 1,761.55, 2,639.90 and 1,328.23

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Solution

The fourth proportional to 1,761.55, 2,639.90 and 1,328.23 is: 1,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.55 : 2,639.90 = 1,328.23 : x
  2. Step 2: Convert to fraction form
    1,761.55/2,639.90 = 1,328.23/x
  3. Step 3: Cross multiply
    1,761.55x = 2,639.90 × 1,328.23
  4. Step 4: Simplify right side
    1,761.55x = 3,506,387.74
  5. Step 5: Solve for x
    x = 3,506,387.74/1,761.55
  6. Step 6: Final answer
    x = 1,990.51

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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.