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Finding the Fourth Proportional to 9,143, 13,716.66 and 2,987

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Solution

The fourth proportional to 9,143, 13,716.66 and 2,987 is: 4,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143 : 13,716.66 = 2,987 : x
  2. Step 2: Convert to fraction form
    9,143/13,716.66 = 2,987/x
  3. Step 3: Cross multiply
    9,143x = 13,716.66 × 2,987
  4. Step 4: Simplify right side
    9,143x = 40,971,663.42
  5. Step 5: Solve for x
    x = 40,971,663.42/9,143
  6. Step 6: Final answer
    x = 4,481.21

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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.