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Finding the Fourth Proportional to 1,861.35, 2,791.20 and 562.53

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Solution

The fourth proportional to 1,861.35, 2,791.20 and 562.53 is: 843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.35 : 2,791.20 = 562.53 : x
  2. Step 2: Convert to fraction form
    1,861.35/2,791.20 = 562.53/x
  3. Step 3: Cross multiply
    1,861.35x = 2,791.20 × 562.53
  4. Step 4: Simplify right side
    1,861.35x = 1,570,133.74
  5. Step 5: Solve for x
    x = 1,570,133.74/1,861.35
  6. Step 6: Final answer
    x = 843.55

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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.