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Finding the Fourth Proportional to 1,997.76, 2,752.86 and 1,546.91

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Solution

The fourth proportional to 1,997.76, 2,752.86 and 1,546.91 is: 2,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.76 : 2,752.86 = 1,546.91 : x
  2. Step 2: Convert to fraction form
    1,997.76/2,752.86 = 1,546.91/x
  3. Step 3: Cross multiply
    1,997.76x = 2,752.86 × 1,546.91
  4. Step 4: Simplify right side
    1,997.76x = 4,258,426.66
  5. Step 5: Solve for x
    x = 4,258,426.66/1,997.76
  6. Step 6: Final answer
    x = 2,131.60

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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.