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Finding the Fourth Proportional to 2,102.75, 2,901.90 and 1,171.25

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Solution

The fourth proportional to 2,102.75, 2,901.90 and 1,171.25 is: 1,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.75 : 2,901.90 = 1,171.25 : x
  2. Step 2: Convert to fraction form
    2,102.75/2,901.90 = 1,171.25/x
  3. Step 3: Cross multiply
    2,102.75x = 2,901.90 × 1,171.25
  4. Step 4: Simplify right side
    2,102.75x = 3,398,844.52
  5. Step 5: Solve for x
    x = 3,398,844.52/2,102.75
  6. Step 6: Final answer
    x = 1,616.38

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1.5x scale

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.