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Finding the Fourth Proportional to 7,877.70, 11,818.50 and 2,331

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Solution

The fourth proportional to 7,877.70, 11,818.50 and 2,331 is: 3,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.70 : 11,818.50 = 2,331 : x
  2. Step 2: Convert to fraction form
    7,877.70/11,818.50 = 2,331/x
  3. Step 3: Cross multiply
    7,877.70x = 11,818.50 × 2,331
  4. Step 4: Simplify right side
    7,877.70x = 27,548,923.50
  5. Step 5: Solve for x
    x = 27,548,923.50/7,877.70
  6. Step 6: Final answer
    x = 3,497.08

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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.