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Finding the Fourth Proportional to 9,291.78, 13,938.30 and 3,135.78

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Solution

The fourth proportional to 9,291.78, 13,938.30 and 3,135.78 is: 4,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.78 : 13,938.30 = 3,135.78 : x
  2. Step 2: Convert to fraction form
    9,291.78/13,938.30 = 3,135.78/x
  3. Step 3: Cross multiply
    9,291.78x = 13,938.30 × 3,135.78
  4. Step 4: Simplify right side
    9,291.78x = 43,707,442.37
  5. Step 5: Solve for x
    x = 43,707,442.37/9,291.78
  6. Step 6: Final answer
    x = 4,703.88

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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.