Home / 3,822.30-5,732.10-1,357.20

Finding the Fourth Proportional to 3,822.30, 5,732.10 and 1,357.20

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Solution

The fourth proportional to 3,822.30, 5,732.10 and 1,357.20 is: 2,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.30 : 5,732.10 = 1,357.20 : x
  2. Step 2: Convert to fraction form
    3,822.30/5,732.10 = 1,357.20/x
  3. Step 3: Cross multiply
    3,822.30x = 5,732.10 × 1,357.20
  4. Step 4: Simplify right side
    3,822.30x = 7,779,606.12
  5. Step 5: Solve for x
    x = 7,779,606.12/3,822.30
  6. Step 6: Final answer
    x = 2,035.32

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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.