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Finding the Fourth Proportional to 12,594.87, 17,382.87 and 7,815.67

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Solution

The fourth proportional to 12,594.87, 17,382.87 and 7,815.67 is: 10,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.87 : 17,382.87 = 7,815.67 : x
  2. Step 2: Convert to fraction form
    12,594.87/17,382.87 = 7,815.67/x
  3. Step 3: Cross multiply
    12,594.87x = 17,382.87 × 7,815.67
  4. Step 4: Simplify right side
    12,594.87x = 135,858,732.12
  5. Step 5: Solve for x
    x = 135,858,732.12/12,594.87
  6. Step 6: Final answer
    x = 10,786.83

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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.