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Finding the Fourth Proportional to 13,891.41, 20,827.89 and 7,654.41

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Solution

The fourth proportional to 13,891.41, 20,827.89 and 7,654.41 is: 11,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.41 : 20,827.89 = 7,654.41 : x
  2. Step 2: Convert to fraction form
    13,891.41/20,827.89 = 7,654.41/x
  3. Step 3: Cross multiply
    13,891.41x = 20,827.89 × 7,654.41
  4. Step 4: Simplify right side
    13,891.41x = 159,425,209.49
  5. Step 5: Solve for x
    x = 159,425,209.49/13,891.41
  6. Step 6: Final answer
    x = 11,476.53

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1.5x scale

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.