Home / 2,142.33-3,214.08-909.81

Finding the Fourth Proportional to 2,142.33, 3,214.08 and 909.81

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Solution

The fourth proportional to 2,142.33, 3,214.08 and 909.81 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.33 : 3,214.08 = 909.81 : x
  2. Step 2: Convert to fraction form
    2,142.33/3,214.08 = 909.81/x
  3. Step 3: Cross multiply
    2,142.33x = 3,214.08 × 909.81
  4. Step 4: Simplify right side
    2,142.33x = 2,924,202.12
  5. Step 5: Solve for x
    x = 2,924,202.12/2,142.33
  6. Step 6: Final answer
    x = 1,364.96

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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.