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Finding the Fourth Proportional to 8,305.78, 12,461.71 and 3,865.57

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Solution

The fourth proportional to 8,305.78, 12,461.71 and 3,865.57 is: 5,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.78 : 12,461.71 = 3,865.57 : x
  2. Step 2: Convert to fraction form
    8,305.78/12,461.71 = 3,865.57/x
  3. Step 3: Cross multiply
    8,305.78x = 12,461.71 × 3,865.57
  4. Step 4: Simplify right side
    8,305.78x = 48,171,612.32
  5. Step 5: Solve for x
    x = 48,171,612.32/8,305.78
  6. Step 6: Final answer
    x = 5,799.77

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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.