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Finding the Fourth Proportional to 5,695.27, 8,543.73 and 1,798.78

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Solution

The fourth proportional to 5,695.27, 8,543.73 and 1,798.78 is: 2,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.27 : 8,543.73 = 1,798.78 : x
  2. Step 2: Convert to fraction form
    5,695.27/8,543.73 = 1,798.78/x
  3. Step 3: Cross multiply
    5,695.27x = 8,543.73 × 1,798.78
  4. Step 4: Simplify right side
    5,695.27x = 15,368,290.65
  5. Step 5: Solve for x
    x = 15,368,290.65/5,695.27
  6. Step 6: Final answer
    x = 2,698.43

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