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Finding the Fourth Proportional to 3,543, 4,878.18 and 3,010.83

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Solution

The fourth proportional to 3,543, 4,878.18 and 3,010.83 is: 4,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543 : 4,878.18 = 3,010.83 : x
  2. Step 2: Convert to fraction form
    3,543/4,878.18 = 3,010.83/x
  3. Step 3: Cross multiply
    3,543x = 4,878.18 × 3,010.83
  4. Step 4: Simplify right side
    3,543x = 14,687,370.69
  5. Step 5: Solve for x
    x = 14,687,370.69/3,543
  6. Step 6: Final answer
    x = 4,145.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.