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Finding the Fourth Proportional to 7,849.98, 11,772.48 and 2,654.64

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Solution

The fourth proportional to 7,849.98, 11,772.48 and 2,654.64 is: 3,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.98 : 11,772.48 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    7,849.98/11,772.48 = 2,654.64/x
  3. Step 3: Cross multiply
    7,849.98x = 11,772.48 × 2,654.64
  4. Step 4: Simplify right side
    7,849.98x = 31,251,696.31
  5. Step 5: Solve for x
    x = 31,251,696.31/7,849.98
  6. Step 6: Final answer
    x = 3,981.12

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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.