Home / 2,142-3,207.84-1,043.64

Finding the Fourth Proportional to 2,142, 3,207.84 and 1,043.64

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Solution

The fourth proportional to 2,142, 3,207.84 and 1,043.64 is: 1,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,207.84 = 1,043.64 : x
  2. Step 2: Convert to fraction form
    2,142/3,207.84 = 1,043.64/x
  3. Step 3: Cross multiply
    2,142x = 3,207.84 × 1,043.64
  4. Step 4: Simplify right side
    2,142x = 3,347,830.14
  5. Step 5: Solve for x
    x = 3,347,830.14/2,142
  6. Step 6: Final answer
    x = 1,562.95

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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.