Home / 1,624.36-2,242.20-961.78

Finding the Fourth Proportional to 1,624.36, 2,242.20 and 961.78

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Solution

The fourth proportional to 1,624.36, 2,242.20 and 961.78 is: 1,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.36 : 2,242.20 = 961.78 : x
  2. Step 2: Convert to fraction form
    1,624.36/2,242.20 = 961.78/x
  3. Step 3: Cross multiply
    1,624.36x = 2,242.20 × 961.78
  4. Step 4: Simplify right side
    1,624.36x = 2,156,503.12
  5. Step 5: Solve for x
    x = 2,156,503.12/1,624.36
  6. Step 6: Final answer
    x = 1,327.60

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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.