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Finding the Fourth Proportional to 8,968, 13,454.16 and 2,812

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Solution

The fourth proportional to 8,968, 13,454.16 and 2,812 is: 4,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968 : 13,454.16 = 2,812 : x
  2. Step 2: Convert to fraction form
    8,968/13,454.16 = 2,812/x
  3. Step 3: Cross multiply
    8,968x = 13,454.16 × 2,812
  4. Step 4: Simplify right side
    8,968x = 37,833,097.92
  5. Step 5: Solve for x
    x = 37,833,097.92/8,968
  6. Step 6: Final answer
    x = 4,218.68

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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.