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Finding the Fourth Proportional to 2,142.44, 3,214.92 and 909.74

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Solution

The fourth proportional to 2,142.44, 3,214.92 and 909.74 is: 1,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.44 : 3,214.92 = 909.74 : x
  2. Step 2: Convert to fraction form
    2,142.44/3,214.92 = 909.74/x
  3. Step 3: Cross multiply
    2,142.44x = 3,214.92 × 909.74
  4. Step 4: Simplify right side
    2,142.44x = 2,924,741.32
  5. Step 5: Solve for x
    x = 2,924,741.32/2,142.44
  6. Step 6: Final answer
    x = 1,365.15

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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.