Home / 2,005.82-3,008.66-707.25

Finding the Fourth Proportional to 2,005.82, 3,008.66 and 707.25

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Solution

The fourth proportional to 2,005.82, 3,008.66 and 707.25 is: 1,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.82 : 3,008.66 = 707.25 : x
  2. Step 2: Convert to fraction form
    2,005.82/3,008.66 = 707.25/x
  3. Step 3: Cross multiply
    2,005.82x = 3,008.66 × 707.25
  4. Step 4: Simplify right side
    2,005.82x = 2,127,871.25
  5. Step 5: Solve for x
    x = 2,127,871.25/2,005.82
  6. Step 6: Final answer
    x = 1,060.85

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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.