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Finding the Fourth Proportional to 3,077.32, 4,616.75 and 886.05

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Solution

The fourth proportional to 3,077.32, 4,616.75 and 886.05 is: 1,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.32 : 4,616.75 = 886.05 : x
  2. Step 2: Convert to fraction form
    3,077.32/4,616.75 = 886.05/x
  3. Step 3: Cross multiply
    3,077.32x = 4,616.75 × 886.05
  4. Step 4: Simplify right side
    3,077.32x = 4,090,648.25
  5. Step 5: Solve for x
    x = 4,090,648.25/3,077.32
  6. Step 6: Final answer
    x = 1,329.29

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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.