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Finding the Fourth Proportional to 5,578.78, 8,368.20 and 1,881.04

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Solution

The fourth proportional to 5,578.78, 8,368.20 and 1,881.04 is: 2,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.78 : 8,368.20 = 1,881.04 : x
  2. Step 2: Convert to fraction form
    5,578.78/8,368.20 = 1,881.04/x
  3. Step 3: Cross multiply
    5,578.78x = 8,368.20 × 1,881.04
  4. Step 4: Simplify right side
    5,578.78x = 15,740,939.85
  5. Step 5: Solve for x
    x = 15,740,939.85/5,578.78
  6. Step 6: Final answer
    x = 2,821.57

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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.