Home / 2,038.23-3,057.32-739.69

Finding the Fourth Proportional to 2,038.23, 3,057.32 and 739.69

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Solution

The fourth proportional to 2,038.23, 3,057.32 and 739.69 is: 1,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.23 : 3,057.32 = 739.69 : x
  2. Step 2: Convert to fraction form
    2,038.23/3,057.32 = 739.69/x
  3. Step 3: Cross multiply
    2,038.23x = 3,057.32 × 739.69
  4. Step 4: Simplify right side
    2,038.23x = 2,261,463.24
  5. Step 5: Solve for x
    x = 2,261,463.24/2,038.23
  6. Step 6: Final answer
    x = 1,109.52

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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.