Home / 2,097.12-3,142.40-1,326

Finding the Fourth Proportional to 2,097.12, 3,142.40 and 1,326

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Solution

The fourth proportional to 2,097.12, 3,142.40 and 1,326 is: 1,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.12 : 3,142.40 = 1,326 : x
  2. Step 2: Convert to fraction form
    2,097.12/3,142.40 = 1,326/x
  3. Step 3: Cross multiply
    2,097.12x = 3,142.40 × 1,326
  4. Step 4: Simplify right side
    2,097.12x = 4,166,822.40
  5. Step 5: Solve for x
    x = 4,166,822.40/2,097.12
  6. Step 6: Final answer
    x = 1,986.93

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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.