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Finding the Fourth Proportional to 1,650.97, 2,276.62 and 1,415.71

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Solution

The fourth proportional to 1,650.97, 2,276.62 and 1,415.71 is: 1,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.97 : 2,276.62 = 1,415.71 : x
  2. Step 2: Convert to fraction form
    1,650.97/2,276.62 = 1,415.71/x
  3. Step 3: Cross multiply
    1,650.97x = 2,276.62 × 1,415.71
  4. Step 4: Simplify right side
    1,650.97x = 3,223,033.70
  5. Step 5: Solve for x
    x = 3,223,033.70/1,650.97
  6. Step 6: Final answer
    x = 1,952.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.