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Finding the Fourth Proportional to 8,212.32, 12,298.92 and 4,253

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Solution

The fourth proportional to 8,212.32, 12,298.92 and 4,253 is: 6,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 12,298.92 = 4,253 : x
  2. Step 2: Convert to fraction form
    8,212.32/12,298.92 = 4,253/x
  3. Step 3: Cross multiply
    8,212.32x = 12,298.92 × 4,253
  4. Step 4: Simplify right side
    8,212.32x = 52,307,306.76
  5. Step 5: Solve for x
    x = 52,307,306.76/8,212.32
  6. Step 6: Final answer
    x = 6,369.37

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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.