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Finding the Fourth Proportional to 9,072.62, 12,491.58 and 8,242.16

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Solution

The fourth proportional to 9,072.62, 12,491.58 and 8,242.16 is: 11,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.62 : 12,491.58 = 8,242.16 : x
  2. Step 2: Convert to fraction form
    9,072.62/12,491.58 = 8,242.16/x
  3. Step 3: Cross multiply
    9,072.62x = 12,491.58 × 8,242.16
  4. Step 4: Simplify right side
    9,072.62x = 102,957,601.01
  5. Step 5: Solve for x
    x = 102,957,601.01/9,072.62
  6. Step 6: Final answer
    x = 11,348.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.