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Finding the Fourth Proportional to 8,309.92, 12,462.74 and 2,465.16

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Solution

The fourth proportional to 8,309.92, 12,462.74 and 2,465.16 is: 3,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.92 : 12,462.74 = 2,465.16 : x
  2. Step 2: Convert to fraction form
    8,309.92/12,462.74 = 2,465.16/x
  3. Step 3: Cross multiply
    8,309.92x = 12,462.74 × 2,465.16
  4. Step 4: Simplify right side
    8,309.92x = 30,722,648.14
  5. Step 5: Solve for x
    x = 30,722,648.14/8,309.92
  6. Step 6: Final answer
    x = 3,697.11

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Similar ratio
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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.