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Finding the Fourth Proportional to 10,252.39, 15,381 and 3,326.89

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Solution

The fourth proportional to 10,252.39, 15,381 and 3,326.89 is: 4,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.39 : 15,381 = 3,326.89 : x
  2. Step 2: Convert to fraction form
    10,252.39/15,381 = 3,326.89/x
  3. Step 3: Cross multiply
    10,252.39x = 15,381 × 3,326.89
  4. Step 4: Simplify right side
    10,252.39x = 51,170,895.09
  5. Step 5: Solve for x
    x = 51,170,895.09/10,252.39
  6. Step 6: Final answer
    x = 4,991.12

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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.