Home / 3,830.24-5,744.14-1,490.08

Finding the Fourth Proportional to 3,830.24, 5,744.14 and 1,490.08

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Solution

The fourth proportional to 3,830.24, 5,744.14 and 1,490.08 is: 2,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.24 : 5,744.14 = 1,490.08 : x
  2. Step 2: Convert to fraction form
    3,830.24/5,744.14 = 1,490.08/x
  3. Step 3: Cross multiply
    3,830.24x = 5,744.14 × 1,490.08
  4. Step 4: Simplify right side
    3,830.24x = 8,559,228.13
  5. Step 5: Solve for x
    x = 8,559,228.13/3,830.24
  6. Step 6: Final answer
    x = 2,234.65

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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.