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Finding the Fourth Proportional to 13,859.84, 20,789.12 and 5,094.11

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Solution

The fourth proportional to 13,859.84, 20,789.12 and 5,094.11 is: 7,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.84 : 20,789.12 = 5,094.11 : x
  2. Step 2: Convert to fraction form
    13,859.84/20,789.12 = 5,094.11/x
  3. Step 3: Cross multiply
    13,859.84x = 20,789.12 × 5,094.11
  4. Step 4: Simplify right side
    13,859.84x = 105,902,064.08
  5. Step 5: Solve for x
    x = 105,902,064.08/13,859.84
  6. Step 6: Final answer
    x = 7,640.93

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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.