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Finding the Fourth Proportional to 2,402.79, 3,602.19 and 1,017.21

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Solution

The fourth proportional to 2,402.79, 3,602.19 and 1,017.21 is: 1,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.79 : 3,602.19 = 1,017.21 : x
  2. Step 2: Convert to fraction form
    2,402.79/3,602.19 = 1,017.21/x
  3. Step 3: Cross multiply
    2,402.79x = 3,602.19 × 1,017.21
  4. Step 4: Simplify right side
    2,402.79x = 3,664,183.69
  5. Step 5: Solve for x
    x = 3,664,183.69/2,402.79
  6. Step 6: Final answer
    x = 1,524.97

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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.