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Finding the Fourth Proportional to 2,402.36, 3,603.71 and 842.18

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Solution

The fourth proportional to 2,402.36, 3,603.71 and 842.18 is: 1,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.36 : 3,603.71 = 842.18 : x
  2. Step 2: Convert to fraction form
    2,402.36/3,603.71 = 842.18/x
  3. Step 3: Cross multiply
    2,402.36x = 3,603.71 × 842.18
  4. Step 4: Simplify right side
    2,402.36x = 3,034,972.49
  5. Step 5: Solve for x
    x = 3,034,972.49/2,402.36
  6. Step 6: Final answer
    x = 1,263.33

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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.