Home / 1,609.23-2,221.29-946.28

Finding the Fourth Proportional to 1,609.23, 2,221.29 and 946.28

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Solution

The fourth proportional to 1,609.23, 2,221.29 and 946.28 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.23 : 2,221.29 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,609.23/2,221.29 = 946.28/x
  3. Step 3: Cross multiply
    1,609.23x = 2,221.29 × 946.28
  4. Step 4: Simplify right side
    1,609.23x = 2,101,962.30
  5. Step 5: Solve for x
    x = 2,101,962.30/1,609.23
  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.