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Finding the Fourth Proportional to 5,813.16, 8,719.28 and 2,114.68

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Solution

The fourth proportional to 5,813.16, 8,719.28 and 2,114.68 is: 3,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.16 : 8,719.28 = 2,114.68 : x
  2. Step 2: Convert to fraction form
    5,813.16/8,719.28 = 2,114.68/x
  3. Step 3: Cross multiply
    5,813.16x = 8,719.28 × 2,114.68
  4. Step 4: Simplify right side
    5,813.16x = 18,438,487.03
  5. Step 5: Solve for x
    x = 18,438,487.03/5,813.16
  6. Step 6: Final answer
    x = 3,171.85

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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.