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Finding the Fourth Proportional to 2,041.20, 3,061.83 and 580.39

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Solution

The fourth proportional to 2,041.20, 3,061.83 and 580.39 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.20 : 3,061.83 = 580.39 : x
  2. Step 2: Convert to fraction form
    2,041.20/3,061.83 = 580.39/x
  3. Step 3: Cross multiply
    2,041.20x = 3,061.83 × 580.39
  4. Step 4: Simplify right side
    2,041.20x = 1,777,047.86
  5. Step 5: Solve for x
    x = 1,777,047.86/2,041.20
  6. Step 6: Final answer
    x = 870.59

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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.