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Finding the Fourth Proportional to 9,889.44, 13,651.14 and 5,909.10

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Solution

The fourth proportional to 9,889.44, 13,651.14 and 5,909.10 is: 8,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.44 : 13,651.14 = 5,909.10 : x
  2. Step 2: Convert to fraction form
    9,889.44/13,651.14 = 5,909.10/x
  3. Step 3: Cross multiply
    9,889.44x = 13,651.14 × 5,909.10
  4. Step 4: Simplify right side
    9,889.44x = 80,665,951.37
  5. Step 5: Solve for x
    x = 80,665,951.37/9,889.44
  6. Step 6: Final answer
    x = 8,156.78

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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.