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Finding the Fourth Proportional to 9,901.14, 13,669.91 and 8,837.07

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Solution

The fourth proportional to 9,901.14, 13,669.91 and 8,837.07 is: 12,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.14 : 13,669.91 = 8,837.07 : x
  2. Step 2: Convert to fraction form
    9,901.14/13,669.91 = 8,837.07/x
  3. Step 3: Cross multiply
    9,901.14x = 13,669.91 × 8,837.07
  4. Step 4: Simplify right side
    9,901.14x = 120,801,951.56
  5. Step 5: Solve for x
    x = 120,801,951.56/9,901.14
  6. Step 6: Final answer
    x = 12,200.81

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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.