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Finding the Fourth Proportional to 2,402.86, 3,604.46 and 842.68

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Solution

The fourth proportional to 2,402.86, 3,604.46 and 842.68 is: 1,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.86 : 3,604.46 = 842.68 : x
  2. Step 2: Convert to fraction form
    2,402.86/3,604.46 = 842.68/x
  3. Step 3: Cross multiply
    2,402.86x = 3,604.46 × 842.68
  4. Step 4: Simplify right side
    2,402.86x = 3,037,406.35
  5. Step 5: Solve for x
    x = 3,037,406.35/2,402.86
  6. Step 6: Final answer
    x = 1,264.08

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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.