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Finding the Fourth Proportional to 6,391.87, 9,588.24 and 2,009.65

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Solution

The fourth proportional to 6,391.87, 9,588.24 and 2,009.65 is: 3,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.87 : 9,588.24 = 2,009.65 : x
  2. Step 2: Convert to fraction form
    6,391.87/9,588.24 = 2,009.65/x
  3. Step 3: Cross multiply
    6,391.87x = 9,588.24 × 2,009.65
  4. Step 4: Simplify right side
    6,391.87x = 19,269,006.52
  5. Step 5: Solve for x
    x = 19,269,006.52/6,391.87
  6. Step 6: Final answer
    x = 3,014.61

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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.