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Finding the Fourth Proportional to 8,048.75, 12,072.10 and 3,115.02

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Solution

The fourth proportional to 8,048.75, 12,072.10 and 3,115.02 is: 4,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.75 : 12,072.10 = 3,115.02 : x
  2. Step 2: Convert to fraction form
    8,048.75/12,072.10 = 3,115.02/x
  3. Step 3: Cross multiply
    8,048.75x = 12,072.10 × 3,115.02
  4. Step 4: Simplify right side
    8,048.75x = 37,604,832.94
  5. Step 5: Solve for x
    x = 37,604,832.94/8,048.75
  6. Step 6: Final answer
    x = 4,672.13

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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.