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Finding the Fourth Proportional to 1,997.95, 2,756.62 and 1,158.49

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Solution

The fourth proportional to 1,997.95, 2,756.62 and 1,158.49 is: 1,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.95 : 2,756.62 = 1,158.49 : x
  2. Step 2: Convert to fraction form
    1,997.95/2,756.62 = 1,158.49/x
  3. Step 3: Cross multiply
    1,997.95x = 2,756.62 × 1,158.49
  4. Step 4: Simplify right side
    1,997.95x = 3,193,516.70
  5. Step 5: Solve for x
    x = 3,193,516.70/1,997.95
  6. Step 6: Final answer
    x = 1,598.40

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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.