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Finding the Fourth Proportional to 8,302.77, 12,454.34 and 3,105.81

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Solution

The fourth proportional to 8,302.77, 12,454.34 and 3,105.81 is: 4,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.77 : 12,454.34 = 3,105.81 : x
  2. Step 2: Convert to fraction form
    8,302.77/12,454.34 = 3,105.81/x
  3. Step 3: Cross multiply
    8,302.77x = 12,454.34 × 3,105.81
  4. Step 4: Simplify right side
    8,302.77x = 38,680,798.19
  5. Step 5: Solve for x
    x = 38,680,798.19/8,302.77
  6. Step 6: Final answer
    x = 4,658.78

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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.