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Finding the Fourth Proportional to 3,864.96, 5,796 and 1,399.68

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Solution

The fourth proportional to 3,864.96, 5,796 and 1,399.68 is: 2,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.96 : 5,796 = 1,399.68 : x
  2. Step 2: Convert to fraction form
    3,864.96/5,796 = 1,399.68/x
  3. Step 3: Cross multiply
    3,864.96x = 5,796 × 1,399.68
  4. Step 4: Simplify right side
    3,864.96x = 8,112,545.28
  5. Step 5: Solve for x
    x = 8,112,545.28/3,864.96
  6. Step 6: Final answer
    x = 2,099.00

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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.