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Finding the Fourth Proportional to 5,813.76, 8,719.68 and 2,891.52

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Solution

The fourth proportional to 5,813.76, 8,719.68 and 2,891.52 is: 4,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,719.68 = 2,891.52 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,719.68 = 2,891.52/x
  3. Step 3: Cross multiply
    5,813.76x = 8,719.68 × 2,891.52
  4. Step 4: Simplify right side
    5,813.76x = 25,213,129.11
  5. Step 5: Solve for x
    x = 25,213,129.11/5,813.76
  6. Step 6: Final answer
    x = 4,336.80

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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.