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Finding the Fourth Proportional to 3,281.28, 4,918.02 and 1,891.74

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Solution

The fourth proportional to 3,281.28, 4,918.02 and 1,891.74 is: 2,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.28 : 4,918.02 = 1,891.74 : x
  2. Step 2: Convert to fraction form
    3,281.28/4,918.02 = 1,891.74/x
  3. Step 3: Cross multiply
    3,281.28x = 4,918.02 × 1,891.74
  4. Step 4: Simplify right side
    3,281.28x = 9,303,615.15
  5. Step 5: Solve for x
    x = 9,303,615.15/3,281.28
  6. Step 6: Final answer
    x = 2,835.36

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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.