Home / 2,006.12-3,009.60-707.69

Finding the Fourth Proportional to 2,006.12, 3,009.60 and 707.69

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Solution

The fourth proportional to 2,006.12, 3,009.60 and 707.69 is: 1,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.12 : 3,009.60 = 707.69 : x
  2. Step 2: Convert to fraction form
    2,006.12/3,009.60 = 707.69/x
  3. Step 3: Cross multiply
    2,006.12x = 3,009.60 × 707.69
  4. Step 4: Simplify right side
    2,006.12x = 2,129,871.35
  5. Step 5: Solve for x
    x = 2,129,871.35/2,006.12
  6. Step 6: Final answer
    x = 1,061.69

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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.