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Finding the Fourth Proportional to 3,077.49, 4,617 and 886.34

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Solution

The fourth proportional to 3,077.49, 4,617 and 886.34 is: 1,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.49 : 4,617 = 886.34 : x
  2. Step 2: Convert to fraction form
    3,077.49/4,617 = 886.34/x
  3. Step 3: Cross multiply
    3,077.49x = 4,617 × 886.34
  4. Step 4: Simplify right side
    3,077.49x = 4,092,243.32
  5. Step 5: Solve for x
    x = 4,092,243.32/3,077.49
  6. Step 6: Final answer
    x = 1,329.73

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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.