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Finding the Fourth Proportional to 2,041.38, 3,061.76 and 654.57

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Solution

The fourth proportional to 2,041.38, 3,061.76 and 654.57 is: 981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.38 : 3,061.76 = 654.57 : x
  2. Step 2: Convert to fraction form
    2,041.38/3,061.76 = 654.57/x
  3. Step 3: Cross multiply
    2,041.38x = 3,061.76 × 654.57
  4. Step 4: Simplify right side
    2,041.38x = 2,004,132.97
  5. Step 5: Solve for x
    x = 2,004,132.97/2,041.38
  6. Step 6: Final answer
    x = 981.75

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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.