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Finding the Fourth Proportional to 7,881.20, 11,821.80 and 2,335.40

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Solution

The fourth proportional to 7,881.20, 11,821.80 and 2,335.40 is: 3,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.20 : 11,821.80 = 2,335.40 : x
  2. Step 2: Convert to fraction form
    7,881.20/11,821.80 = 2,335.40/x
  3. Step 3: Cross multiply
    7,881.20x = 11,821.80 × 2,335.40
  4. Step 4: Simplify right side
    7,881.20x = 27,608,631.72
  5. Step 5: Solve for x
    x = 27,608,631.72/7,881.20
  6. Step 6: Final answer
    x = 3,503.10

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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.