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Finding the Fourth Proportional to 9,116.80, 13,675.98 and 2,543

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Solution

The fourth proportional to 9,116.80, 13,675.98 and 2,543 is: 3,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.80 : 13,675.98 = 2,543 : x
  2. Step 2: Convert to fraction form
    9,116.80/13,675.98 = 2,543/x
  3. Step 3: Cross multiply
    9,116.80x = 13,675.98 × 2,543
  4. Step 4: Simplify right side
    9,116.80x = 34,778,017.14
  5. Step 5: Solve for x
    x = 34,778,017.14/9,116.80
  6. Step 6: Final answer
    x = 3,814.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.