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Finding the Fourth Proportional to 3,078.64, 4,616.88 and 886.78

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Solution

The fourth proportional to 3,078.64, 4,616.88 and 886.78 is: 1,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.64 : 4,616.88 = 886.78 : x
  2. Step 2: Convert to fraction form
    3,078.64/4,616.88 = 886.78/x
  3. Step 3: Cross multiply
    3,078.64x = 4,616.88 × 886.78
  4. Step 4: Simplify right side
    3,078.64x = 4,094,141.98
  5. Step 5: Solve for x
    x = 4,094,141.98/3,078.64
  6. Step 6: Final answer
    x = 1,329.86

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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.