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Finding the Fourth Proportional to 9,072.72, 12,513.96 and 8,329.14

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Solution

The fourth proportional to 9,072.72, 12,513.96 and 8,329.14 is: 11,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.72 : 12,513.96 = 8,329.14 : x
  2. Step 2: Convert to fraction form
    9,072.72/12,513.96 = 8,329.14/x
  3. Step 3: Cross multiply
    9,072.72x = 12,513.96 × 8,329.14
  4. Step 4: Simplify right side
    9,072.72x = 104,230,524.79
  5. Step 5: Solve for x
    x = 104,230,524.79/9,072.72
  6. Step 6: Final answer
    x = 11,488.34

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Half scale
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Double scale
Find fourth proportional to 9,073.72, 12,515.34 and 8,330.14
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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.