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Finding the Fourth Proportional to 7,878, 11,817 and 3,261.12

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Solution

The fourth proportional to 7,878, 11,817 and 3,261.12 is: 4,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 11,817 = 3,261.12 : x
  2. Step 2: Convert to fraction form
    7,878/11,817 = 3,261.12/x
  3. Step 3: Cross multiply
    7,878x = 11,817 × 3,261.12
  4. Step 4: Simplify right side
    7,878x = 38,536,655.04
  5. Step 5: Solve for x
    x = 38,536,655.04/7,878
  6. Step 6: Final answer
    x = 4,891.68

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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.