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Finding the Fourth Proportional to 3,188.34, 4,399.74 and 1,791

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Solution

The fourth proportional to 3,188.34, 4,399.74 and 1,791 is: 2,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.34 : 4,399.74 = 1,791 : x
  2. Step 2: Convert to fraction form
    3,188.34/4,399.74 = 1,791/x
  3. Step 3: Cross multiply
    3,188.34x = 4,399.74 × 1,791
  4. Step 4: Simplify right side
    3,188.34x = 7,879,934.34
  5. Step 5: Solve for x
    x = 7,879,934.34/3,188.34
  6. Step 6: Final answer
    x = 2,471.48

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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.