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Finding the Fourth Proportional to 9,919.78, 13,689.74 and 5,940.12

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Solution

The fourth proportional to 9,919.78, 13,689.74 and 5,940.12 is: 8,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.78 : 13,689.74 = 5,940.12 : x
  2. Step 2: Convert to fraction form
    9,919.78/13,689.74 = 5,940.12/x
  3. Step 3: Cross multiply
    9,919.78x = 13,689.74 × 5,940.12
  4. Step 4: Simplify right side
    9,919.78x = 81,318,698.37
  5. Step 5: Solve for x
    x = 81,318,698.37/9,919.78
  6. Step 6: Final answer
    x = 8,197.63

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1.5x scale

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.