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Finding the Fourth Proportional to 13,891.55, 20,828.07 and 7,654.49

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Solution

The fourth proportional to 13,891.55, 20,828.07 and 7,654.49 is: 11,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.55 : 20,828.07 = 7,654.49 : x
  2. Step 2: Convert to fraction form
    13,891.55/20,828.07 = 7,654.49/x
  3. Step 3: Cross multiply
    13,891.55x = 20,828.07 × 7,654.49
  4. Step 4: Simplify right side
    13,891.55x = 159,428,253.53
  5. Step 5: Solve for x
    x = 159,428,253.53/13,891.55
  6. Step 6: Final answer
    x = 11,476.64

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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.