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Finding the Fourth Proportional to 1,994.70, 2,752.45 and 1,197.87

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Solution

The fourth proportional to 1,994.70, 2,752.45 and 1,197.87 is: 1,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.70 : 2,752.45 = 1,197.87 : x
  2. Step 2: Convert to fraction form
    1,994.70/2,752.45 = 1,197.87/x
  3. Step 3: Cross multiply
    1,994.70x = 2,752.45 × 1,197.87
  4. Step 4: Simplify right side
    1,994.70x = 3,297,077.28
  5. Step 5: Solve for x
    x = 3,297,077.28/1,994.70
  6. Step 6: Final answer
    x = 1,652.92

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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.