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Finding the Fourth Proportional to 8,209.92, 12,314.88 and 4,918.89

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Solution

The fourth proportional to 8,209.92, 12,314.88 and 4,918.89 is: 7,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.92 : 12,314.88 = 4,918.89 : x
  2. Step 2: Convert to fraction form
    8,209.92/12,314.88 = 4,918.89/x
  3. Step 3: Cross multiply
    8,209.92x = 12,314.88 × 4,918.89
  4. Step 4: Simplify right side
    8,209.92x = 60,575,540.08
  5. Step 5: Solve for x
    x = 60,575,540.08/8,209.92
  6. Step 6: Final answer
    x = 7,378.34

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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.