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Finding the Fourth Proportional to 3,761.54, 5,642.76 and 1,812.38

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Solution

The fourth proportional to 3,761.54, 5,642.76 and 1,812.38 is: 2,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.54 : 5,642.76 = 1,812.38 : x
  2. Step 2: Convert to fraction form
    3,761.54/5,642.76 = 1,812.38/x
  3. Step 3: Cross multiply
    3,761.54x = 5,642.76 × 1,812.38
  4. Step 4: Simplify right side
    3,761.54x = 10,226,803.95
  5. Step 5: Solve for x
    x = 10,226,803.95/3,761.54
  6. Step 6: Final answer
    x = 2,718.78

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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.