Home / 1,609.52-2,221.57-946.58

Finding the Fourth Proportional to 1,609.52, 2,221.57 and 946.58

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Solution

The fourth proportional to 1,609.52, 2,221.57 and 946.58 is: 1,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.52 : 2,221.57 = 946.58 : x
  2. Step 2: Convert to fraction form
    1,609.52/2,221.57 = 946.58/x
  3. Step 3: Cross multiply
    1,609.52x = 2,221.57 × 946.58
  4. Step 4: Simplify right side
    1,609.52x = 2,102,890.98
  5. Step 5: Solve for x
    x = 2,102,890.98/1,609.52
  6. Step 6: Final answer
    x = 1,306.54

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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.