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Finding the Fourth Proportional to 9,690.80, 13,366.94 and 5,709.11

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Solution

The fourth proportional to 9,690.80, 13,366.94 and 5,709.11 is: 7,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.80 : 13,366.94 = 5,709.11 : x
  2. Step 2: Convert to fraction form
    9,690.80/13,366.94 = 5,709.11/x
  3. Step 3: Cross multiply
    9,690.80x = 13,366.94 × 5,709.11
  4. Step 4: Simplify right side
    9,690.80x = 76,313,235.44
  5. Step 5: Solve for x
    x = 76,313,235.44/9,690.80
  6. Step 6: Final answer
    x = 7,874.82

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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.