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Finding the Fourth Proportional to 8,302.38, 12,457.22 and 4,407.09

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Solution

The fourth proportional to 8,302.38, 12,457.22 and 4,407.09 is: 6,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.38 : 12,457.22 = 4,407.09 : x
  2. Step 2: Convert to fraction form
    8,302.38/12,457.22 = 4,407.09/x
  3. Step 3: Cross multiply
    8,302.38x = 12,457.22 × 4,407.09
  4. Step 4: Simplify right side
    8,302.38x = 54,900,067.65
  5. Step 5: Solve for x
    x = 54,900,067.65/8,302.38
  6. Step 6: Final answer
    x = 6,612.57

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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.