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Finding the Fourth Proportional to 5,578.56, 8,370.72 and 2,981.28

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Solution

The fourth proportional to 5,578.56, 8,370.72 and 2,981.28 is: 4,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 8,370.72 = 2,981.28 : x
  2. Step 2: Convert to fraction form
    5,578.56/8,370.72 = 2,981.28/x
  3. Step 3: Cross multiply
    5,578.56x = 8,370.72 × 2,981.28
  4. Step 4: Simplify right side
    5,578.56x = 24,955,460.12
  5. Step 5: Solve for x
    x = 24,955,460.12/5,578.56
  6. Step 6: Final answer
    x = 4,473.46

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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.