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Finding the Fourth Proportional to 9,116.78, 13,675.11 and 2,543

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Solution

The fourth proportional to 9,116.78, 13,675.11 and 2,543 is: 3,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.78 : 13,675.11 = 2,543 : x
  2. Step 2: Convert to fraction form
    9,116.78/13,675.11 = 2,543/x
  3. Step 3: Cross multiply
    9,116.78x = 13,675.11 × 2,543
  4. Step 4: Simplify right side
    9,116.78x = 34,775,804.73
  5. Step 5: Solve for x
    x = 34,775,804.73/9,116.78
  6. Step 6: Final answer
    x = 3,814.48

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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.