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Finding the Fourth Proportional to 9,293.78, 13,941.30 and 3,137.78

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Solution

The fourth proportional to 9,293.78, 13,941.30 and 3,137.78 is: 4,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.78 : 13,941.30 = 3,137.78 : x
  2. Step 2: Convert to fraction form
    9,293.78/13,941.30 = 3,137.78/x
  3. Step 3: Cross multiply
    9,293.78x = 13,941.30 × 3,137.78
  4. Step 4: Simplify right side
    9,293.78x = 43,744,732.31
  5. Step 5: Solve for x
    x = 43,744,732.31/9,293.78
  6. Step 6: Final answer
    x = 4,706.88

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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.