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Finding the Fourth Proportional to 9,833.41, 13,579.71 and 8,408.84

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Solution

The fourth proportional to 9,833.41, 13,579.71 and 8,408.84 is: 11,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.41 : 13,579.71 = 8,408.84 : x
  2. Step 2: Convert to fraction form
    9,833.41/13,579.71 = 8,408.84/x
  3. Step 3: Cross multiply
    9,833.41x = 13,579.71 × 8,408.84
  4. Step 4: Simplify right side
    9,833.41x = 114,189,608.64
  5. Step 5: Solve for x
    x = 114,189,608.64/9,833.41
  6. Step 6: Final answer
    x = 11,612.42

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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.