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Finding the Fourth Proportional to 2,382.74, 3,574.21 and 901.86

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Solution

The fourth proportional to 2,382.74, 3,574.21 and 901.86 is: 1,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.74 : 3,574.21 = 901.86 : x
  2. Step 2: Convert to fraction form
    2,382.74/3,574.21 = 901.86/x
  3. Step 3: Cross multiply
    2,382.74x = 3,574.21 × 901.86
  4. Step 4: Simplify right side
    2,382.74x = 3,223,437.03
  5. Step 5: Solve for x
    x = 3,223,437.03/2,382.74
  6. Step 6: Final answer
    x = 1,352.83

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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.