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Finding the Fourth Proportional to 10,360.78, 15,540.80 and 2,965.24

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Solution

The fourth proportional to 10,360.78, 15,540.80 and 2,965.24 is: 4,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.78 : 15,540.80 = 2,965.24 : x
  2. Step 2: Convert to fraction form
    10,360.78/15,540.80 = 2,965.24/x
  3. Step 3: Cross multiply
    10,360.78x = 15,540.80 × 2,965.24
  4. Step 4: Simplify right side
    10,360.78x = 46,082,201.79
  5. Step 5: Solve for x
    x = 46,082,201.79/10,360.78
  6. Step 6: Final answer
    x = 4,447.75

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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.