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Finding the Fourth Proportional to 3,193.66, 4,782.29 and 1,957.32

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Solution

The fourth proportional to 3,193.66, 4,782.29 and 1,957.32 is: 2,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.66 : 4,782.29 = 1,957.32 : x
  2. Step 2: Convert to fraction form
    3,193.66/4,782.29 = 1,957.32/x
  3. Step 3: Cross multiply
    3,193.66x = 4,782.29 × 1,957.32
  4. Step 4: Simplify right side
    3,193.66x = 9,360,486.54
  5. Step 5: Solve for x
    x = 9,360,486.54/3,193.66
  6. Step 6: Final answer
    x = 2,930.96

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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.