Home / 1,609.32-2,221.57-946.21

Finding the Fourth Proportional to 1,609.32, 2,221.57 and 946.21

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Solution

The fourth proportional to 1,609.32, 2,221.57 and 946.21 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.32 : 2,221.57 = 946.21 : x
  2. Step 2: Convert to fraction form
    1,609.32/2,221.57 = 946.21/x
  3. Step 3: Cross multiply
    1,609.32x = 2,221.57 × 946.21
  4. Step 4: Simplify right side
    1,609.32x = 2,102,071.75
  5. Step 5: Solve for x
    x = 2,102,071.75/1,609.32
  6. Step 6: Final answer
    x = 1,306.19

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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.