Home / 2,206.91-3,309.67-975.35

Finding the Fourth Proportional to 2,206.91, 3,309.67 and 975.35

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Solution

The fourth proportional to 2,206.91, 3,309.67 and 975.35 is: 1,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.91 : 3,309.67 = 975.35 : x
  2. Step 2: Convert to fraction form
    2,206.91/3,309.67 = 975.35/x
  3. Step 3: Cross multiply
    2,206.91x = 3,309.67 × 975.35
  4. Step 4: Simplify right side
    2,206.91x = 3,228,086.63
  5. Step 5: Solve for x
    x = 3,228,086.63/2,206.91
  6. Step 6: Final answer
    x = 1,462.72

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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.