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Finding the Fourth Proportional to 2,172.68, 2,998.50 and 1,241

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Solution

The fourth proportional to 2,172.68, 2,998.50 and 1,241 is: 1,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.68 : 2,998.50 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,172.68/2,998.50 = 1,241/x
  3. Step 3: Cross multiply
    2,172.68x = 2,998.50 × 1,241
  4. Step 4: Simplify right side
    2,172.68x = 3,721,138.50
  5. Step 5: Solve for x
    x = 3,721,138.50/2,172.68
  6. Step 6: Final answer
    x = 1,712.70

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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.