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Finding the Fourth Proportional to 1,221.71, 1,829.11 and 1,106.37

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Solution

The fourth proportional to 1,221.71, 1,829.11 and 1,106.37 is: 1,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.71 : 1,829.11 = 1,106.37 : x
  2. Step 2: Convert to fraction form
    1,221.71/1,829.11 = 1,106.37/x
  3. Step 3: Cross multiply
    1,221.71x = 1,829.11 × 1,106.37
  4. Step 4: Simplify right side
    1,221.71x = 2,023,672.43
  5. Step 5: Solve for x
    x = 2,023,672.43/1,221.71
  6. Step 6: Final answer
    x = 1,656.43

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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.