Home / 3,814.29-5,724-1,349.10

Finding the Fourth Proportional to 3,814.29, 5,724 and 1,349.10

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Solution

The fourth proportional to 3,814.29, 5,724 and 1,349.10 is: 2,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.29 : 5,724 = 1,349.10 : x
  2. Step 2: Convert to fraction form
    3,814.29/5,724 = 1,349.10/x
  3. Step 3: Cross multiply
    3,814.29x = 5,724 × 1,349.10
  4. Step 4: Simplify right side
    3,814.29x = 7,722,248.40
  5. Step 5: Solve for x
    x = 7,722,248.40/3,814.29
  6. Step 6: Final answer
    x = 2,024.56

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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.