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Finding the Fourth Proportional to 8,359.49, 12,464.49 and 8,129.85

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Solution

The fourth proportional to 8,359.49, 12,464.49 and 8,129.85 is: 12,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.49 : 12,464.49 = 8,129.85 : x
  2. Step 2: Convert to fraction form
    8,359.49/12,464.49 = 8,129.85/x
  3. Step 3: Cross multiply
    8,359.49x = 12,464.49 × 8,129.85
  4. Step 4: Simplify right side
    8,359.49x = 101,334,434.03
  5. Step 5: Solve for x
    x = 101,334,434.03/8,359.49
  6. Step 6: Final answer
    x = 12,122.09

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.