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Finding the Fourth Proportional to 2,302.91, 3,454.82 and 842.17

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Solution

The fourth proportional to 2,302.91, 3,454.82 and 842.17 is: 1,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.91 : 3,454.82 = 842.17 : x
  2. Step 2: Convert to fraction form
    2,302.91/3,454.82 = 842.17/x
  3. Step 3: Cross multiply
    2,302.91x = 3,454.82 × 842.17
  4. Step 4: Simplify right side
    2,302.91x = 2,909,545.76
  5. Step 5: Solve for x
    x = 2,909,545.76/2,302.91
  6. Step 6: Final answer
    x = 1,263.42

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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.