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Finding the Fourth Proportional to 5,474.65, 8,213.19 and 1,578.75

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Solution

The fourth proportional to 5,474.65, 8,213.19 and 1,578.75 is: 2,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.65 : 8,213.19 = 1,578.75 : x
  2. Step 2: Convert to fraction form
    5,474.65/8,213.19 = 1,578.75/x
  3. Step 3: Cross multiply
    5,474.65x = 8,213.19 × 1,578.75
  4. Step 4: Simplify right side
    5,474.65x = 12,966,567.79
  5. Step 5: Solve for x
    x = 12,966,567.79/5,474.65
  6. Step 6: Final answer
    x = 2,368.48

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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.