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Finding the Fourth Proportional to 5,600.96, 7,719.80 and 3,829.50

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Solution

The fourth proportional to 5,600.96, 7,719.80 and 3,829.50 is: 5,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.96 : 7,719.80 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    5,600.96/7,719.80 = 3,829.50/x
  3. Step 3: Cross multiply
    5,600.96x = 7,719.80 × 3,829.50
  4. Step 4: Simplify right side
    5,600.96x = 29,562,974.10
  5. Step 5: Solve for x
    x = 29,562,974.10/5,600.96
  6. Step 6: Final answer
    x = 5,278.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.