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Finding the Fourth Proportional to 5,229.67, 7,845.47 and 1,719.87

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Solution

The fourth proportional to 5,229.67, 7,845.47 and 1,719.87 is: 2,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.67 : 7,845.47 = 1,719.87 : x
  2. Step 2: Convert to fraction form
    5,229.67/7,845.47 = 1,719.87/x
  3. Step 3: Cross multiply
    5,229.67x = 7,845.47 × 1,719.87
  4. Step 4: Simplify right side
    5,229.67x = 13,493,140.66
  5. Step 5: Solve for x
    x = 13,493,140.66/5,229.67
  6. Step 6: Final answer
    x = 2,580.12

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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.