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Finding the Fourth Proportional to 3,355.71, 5,032.43 and 1,275.22

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Solution

The fourth proportional to 3,355.71, 5,032.43 and 1,275.22 is: 1,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.71 : 5,032.43 = 1,275.22 : x
  2. Step 2: Convert to fraction form
    3,355.71/5,032.43 = 1,275.22/x
  3. Step 3: Cross multiply
    3,355.71x = 5,032.43 × 1,275.22
  4. Step 4: Simplify right side
    3,355.71x = 6,417,441.21
  5. Step 5: Solve for x
    x = 6,417,441.21/3,355.71
  6. Step 6: Final answer
    x = 1,912.39

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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.