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Finding the Fourth Proportional to 8,251.65, 12,367.04 and 4,784.85

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Solution

The fourth proportional to 8,251.65, 12,367.04 and 4,784.85 is: 7,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.65 : 12,367.04 = 4,784.85 : x
  2. Step 2: Convert to fraction form
    8,251.65/12,367.04 = 4,784.85/x
  3. Step 3: Cross multiply
    8,251.65x = 12,367.04 × 4,784.85
  4. Step 4: Simplify right side
    8,251.65x = 59,174,407.42
  5. Step 5: Solve for x
    x = 59,174,407.42/8,251.65
  6. Step 6: Final answer
    x = 7,171.22

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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.