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Finding the Fourth Proportional to 5,578.64, 8,369.76 and 1,882.56

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Solution

The fourth proportional to 5,578.64, 8,369.76 and 1,882.56 is: 2,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.64 : 8,369.76 = 1,882.56 : x
  2. Step 2: Convert to fraction form
    5,578.64/8,369.76 = 1,882.56/x
  3. Step 3: Cross multiply
    5,578.64x = 8,369.76 × 1,882.56
  4. Step 4: Simplify right side
    5,578.64x = 15,756,575.39
  5. Step 5: Solve for x
    x = 15,756,575.39/5,578.64
  6. Step 6: Final answer
    x = 2,824.45

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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.