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Finding the Fourth Proportional to 2,371.56, 3,556.73 and 909.92

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Solution

The fourth proportional to 2,371.56, 3,556.73 and 909.92 is: 1,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.56 : 3,556.73 = 909.92 : x
  2. Step 2: Convert to fraction form
    2,371.56/3,556.73 = 909.92/x
  3. Step 3: Cross multiply
    2,371.56x = 3,556.73 × 909.92
  4. Step 4: Simplify right side
    2,371.56x = 3,236,317.43
  5. Step 5: Solve for x
    x = 3,236,317.43/2,371.56
  6. Step 6: Final answer
    x = 1,364.64

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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.