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Finding the Fourth Proportional to 2,402.11, 3,603.03 and 842.19

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Solution

The fourth proportional to 2,402.11, 3,603.03 and 842.19 is: 1,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.11 : 3,603.03 = 842.19 : x
  2. Step 2: Convert to fraction form
    2,402.11/3,603.03 = 842.19/x
  3. Step 3: Cross multiply
    2,402.11x = 3,603.03 × 842.19
  4. Step 4: Simplify right side
    2,402.11x = 3,034,417.82
  5. Step 5: Solve for x
    x = 3,034,417.82/2,402.11
  6. Step 6: Final answer
    x = 1,263.23

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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.