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Finding the Fourth Proportional to 2,001.85, 2,998.75 and 998.17

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Solution

The fourth proportional to 2,001.85, 2,998.75 and 998.17 is: 1,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.85 : 2,998.75 = 998.17 : x
  2. Step 2: Convert to fraction form
    2,001.85/2,998.75 = 998.17/x
  3. Step 3: Cross multiply
    2,001.85x = 2,998.75 × 998.17
  4. Step 4: Simplify right side
    2,001.85x = 2,993,254.17
  5. Step 5: Solve for x
    x = 2,993,254.17/2,001.85
  6. Step 6: Final answer
    x = 1,495.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.