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Finding the Fourth Proportional to 4,225, 6,326.16 and 3,398.80

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Solution

The fourth proportional to 4,225, 6,326.16 and 3,398.80 is: 5,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225 : 6,326.16 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    4,225/6,326.16 = 3,398.80/x
  3. Step 3: Cross multiply
    4,225x = 6,326.16 × 3,398.80
  4. Step 4: Simplify right side
    4,225x = 21,501,352.61
  5. Step 5: Solve for x
    x = 21,501,352.61/4,225
  6. Step 6: Final answer
    x = 5,089.08

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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.