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Finding the Fourth Proportional to 8,207.80, 12,311.70 and 4,751.80

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Solution

The fourth proportional to 8,207.80, 12,311.70 and 4,751.80 is: 7,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.80 : 12,311.70 = 4,751.80 : x
  2. Step 2: Convert to fraction form
    8,207.80/12,311.70 = 4,751.80/x
  3. Step 3: Cross multiply
    8,207.80x = 12,311.70 × 4,751.80
  4. Step 4: Simplify right side
    8,207.80x = 58,502,736.06
  5. Step 5: Solve for x
    x = 58,502,736.06/8,207.80
  6. Step 6: Final answer
    x = 7,127.70

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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.