Home / 1,997.67-2,756.82-1,158.45

Finding the Fourth Proportional to 1,997.67, 2,756.82 and 1,158.45

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Solution

The fourth proportional to 1,997.67, 2,756.82 and 1,158.45 is: 1,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.67 : 2,756.82 = 1,158.45 : x
  2. Step 2: Convert to fraction form
    1,997.67/2,756.82 = 1,158.45/x
  3. Step 3: Cross multiply
    1,997.67x = 2,756.82 × 1,158.45
  4. Step 4: Simplify right side
    1,997.67x = 3,193,638.13
  5. Step 5: Solve for x
    x = 3,193,638.13/1,997.67
  6. Step 6: Final answer
    x = 1,598.68

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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.