Home / 1,708.14-2,354.82-1,209.84

Finding the Fourth Proportional to 1,708.14, 2,354.82 and 1,209.84

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Solution

The fourth proportional to 1,708.14, 2,354.82 and 1,209.84 is: 1,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.14 : 2,354.82 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    1,708.14/2,354.82 = 1,209.84/x
  3. Step 3: Cross multiply
    1,708.14x = 2,354.82 × 1,209.84
  4. Step 4: Simplify right side
    1,708.14x = 2,848,948.87
  5. Step 5: Solve for x
    x = 2,848,948.87/1,708.14
  6. Step 6: Final answer
    x = 1,667.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.