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Finding the Fourth Proportional to 5,719.29, 8,578.12 and 2,210.95

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Solution

The fourth proportional to 5,719.29, 8,578.12 and 2,210.95 is: 3,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.29 : 8,578.12 = 2,210.95 : x
  2. Step 2: Convert to fraction form
    5,719.29/8,578.12 = 2,210.95/x
  3. Step 3: Cross multiply
    5,719.29x = 8,578.12 × 2,210.95
  4. Step 4: Simplify right side
    5,719.29x = 18,965,786.46
  5. Step 5: Solve for x
    x = 18,965,786.46/5,719.29
  6. Step 6: Final answer
    x = 3,316.11

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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.