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Finding the Fourth Proportional to 7,381, 10,185.78 and 4,069

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Solution

The fourth proportional to 7,381, 10,185.78 and 4,069 is: 5,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381 : 10,185.78 = 4,069 : x
  2. Step 2: Convert to fraction form
    7,381/10,185.78 = 4,069/x
  3. Step 3: Cross multiply
    7,381x = 10,185.78 × 4,069
  4. Step 4: Simplify right side
    7,381x = 41,445,938.82
  5. Step 5: Solve for x
    x = 41,445,938.82/7,381
  6. Step 6: Final answer
    x = 5,615.22

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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.