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Finding the Fourth Proportional to 7,187.94, 10,782.65 and 1,993.82

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Solution

The fourth proportional to 7,187.94, 10,782.65 and 1,993.82 is: 2,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.94 : 10,782.65 = 1,993.82 : x
  2. Step 2: Convert to fraction form
    7,187.94/10,782.65 = 1,993.82/x
  3. Step 3: Cross multiply
    7,187.94x = 10,782.65 × 1,993.82
  4. Step 4: Simplify right side
    7,187.94x = 21,498,614.29
  5. Step 5: Solve for x
    x = 21,498,614.29/7,187.94
  6. Step 6: Final answer
    x = 2,990.93

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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.