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Finding the Fourth Proportional to 5,478.93, 8,218.41 and 1,583.65

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Solution

The fourth proportional to 5,478.93, 8,218.41 and 1,583.65 is: 2,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.93 : 8,218.41 = 1,583.65 : x
  2. Step 2: Convert to fraction form
    5,478.93/8,218.41 = 1,583.65/x
  3. Step 3: Cross multiply
    5,478.93x = 8,218.41 × 1,583.65
  4. Step 4: Simplify right side
    5,478.93x = 13,015,077.08
  5. Step 5: Solve for x
    x = 13,015,077.08/5,478.93
  6. Step 6: Final answer
    x = 2,375.48

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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.