Home / 2,004.12-3,007.08-705.78

Finding the Fourth Proportional to 2,004.12, 3,007.08 and 705.78

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Solution

The fourth proportional to 2,004.12, 3,007.08 and 705.78 is: 1,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.12 : 3,007.08 = 705.78 : x
  2. Step 2: Convert to fraction form
    2,004.12/3,007.08 = 705.78/x
  3. Step 3: Cross multiply
    2,004.12x = 3,007.08 × 705.78
  4. Step 4: Simplify right side
    2,004.12x = 2,122,336.92
  5. Step 5: Solve for x
    x = 2,122,336.92/2,004.12
  6. Step 6: Final answer
    x = 1,058.99

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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.