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Finding the Fourth Proportional to 4,212, 5,793.12 and 3,687.12

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Solution

The fourth proportional to 4,212, 5,793.12 and 3,687.12 is: 5,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 5,793.12 = 3,687.12 : x
  2. Step 2: Convert to fraction form
    4,212/5,793.12 = 3,687.12/x
  3. Step 3: Cross multiply
    4,212x = 5,793.12 × 3,687.12
  4. Step 4: Simplify right side
    4,212x = 21,359,928.61
  5. Step 5: Solve for x
    x = 21,359,928.61/4,212
  6. Step 6: Final answer
    x = 5,071.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.