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Finding the Fourth Proportional to 2,112.71, 3,169.02 and 573.71

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Solution

The fourth proportional to 2,112.71, 3,169.02 and 573.71 is: 860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.71 : 3,169.02 = 573.71 : x
  2. Step 2: Convert to fraction form
    2,112.71/3,169.02 = 573.71/x
  3. Step 3: Cross multiply
    2,112.71x = 3,169.02 × 573.71
  4. Step 4: Simplify right side
    2,112.71x = 1,818,098.46
  5. Step 5: Solve for x
    x = 1,818,098.46/2,112.71
  6. Step 6: Final answer
    x = 860.55

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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.