Home / 1,209.39-1,667.35-961.53

Finding the Fourth Proportional to 1,209.39, 1,667.35 and 961.53

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Solution

The fourth proportional to 1,209.39, 1,667.35 and 961.53 is: 1,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.39 : 1,667.35 = 961.53 : x
  2. Step 2: Convert to fraction form
    1,209.39/1,667.35 = 961.53/x
  3. Step 3: Cross multiply
    1,209.39x = 1,667.35 × 961.53
  4. Step 4: Simplify right side
    1,209.39x = 1,603,207.05
  5. Step 5: Solve for x
    x = 1,603,207.05/1,209.39
  6. Step 6: Final answer
    x = 1,325.63

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1.5x scale

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.