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Finding the Fourth Proportional to 7,808.87, 11,713.46 and 3,647.75

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Solution

The fourth proportional to 7,808.87, 11,713.46 and 3,647.75 is: 5,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.87 : 11,713.46 = 3,647.75 : x
  2. Step 2: Convert to fraction form
    7,808.87/11,713.46 = 3,647.75/x
  3. Step 3: Cross multiply
    7,808.87x = 11,713.46 × 3,647.75
  4. Step 4: Simplify right side
    7,808.87x = 42,727,696.91
  5. Step 5: Solve for x
    x = 42,727,696.91/7,808.87
  6. Step 6: Final answer
    x = 5,471.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.