Home / 2,104.12-3,156.63-805.96

Finding the Fourth Proportional to 2,104.12, 3,156.63 and 805.96

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Solution

The fourth proportional to 2,104.12, 3,156.63 and 805.96 is: 1,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.12 : 3,156.63 = 805.96 : x
  2. Step 2: Convert to fraction form
    2,104.12/3,156.63 = 805.96/x
  3. Step 3: Cross multiply
    2,104.12x = 3,156.63 × 805.96
  4. Step 4: Simplify right side
    2,104.12x = 2,544,117.51
  5. Step 5: Solve for x
    x = 2,544,117.51/2,104.12
  6. Step 6: Final answer
    x = 1,209.11

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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.