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Finding the Fourth Proportional to 9,890.91, 13,631.04 and 8,112.15

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Solution

The fourth proportional to 9,890.91, 13,631.04 and 8,112.15 is: 11,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.91 : 13,631.04 = 8,112.15 : x
  2. Step 2: Convert to fraction form
    9,890.91/13,631.04 = 8,112.15/x
  3. Step 3: Cross multiply
    9,890.91x = 13,631.04 × 8,112.15
  4. Step 4: Simplify right side
    9,890.91x = 110,577,041.14
  5. Step 5: Solve for x
    x = 110,577,041.14/9,890.91
  6. Step 6: Final answer
    x = 11,179.66

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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.