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Finding the Fourth Proportional to 25,630, 38,447.52 and 7,162

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Solution

The fourth proportional to 25,630, 38,447.52 and 7,162 is: 10,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630 : 38,447.52 = 7,162 : x
  2. Step 2: Convert to fraction form
    25,630/38,447.52 = 7,162/x
  3. Step 3: Cross multiply
    25,630x = 38,447.52 × 7,162
  4. Step 4: Simplify right side
    25,630x = 275,361,138.24
  5. Step 5: Solve for x
    x = 275,361,138.24/25,630
  6. Step 6: Final answer
    x = 10,743.70

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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.