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Finding the Fourth Proportional to 2,001.12, 2,988.54 and 1,797

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Solution

The fourth proportional to 2,001.12, 2,988.54 and 1,797 is: 2,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.12 : 2,988.54 = 1,797 : x
  2. Step 2: Convert to fraction form
    2,001.12/2,988.54 = 1,797/x
  3. Step 3: Cross multiply
    2,001.12x = 2,988.54 × 1,797
  4. Step 4: Simplify right side
    2,001.12x = 5,370,406.38
  5. Step 5: Solve for x
    x = 5,370,406.38/2,001.12
  6. Step 6: Final answer
    x = 2,683.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.