Home / 1,609.40-2,220.72-946.82

Finding the Fourth Proportional to 1,609.40, 2,220.72 and 946.82

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Solution

The fourth proportional to 1,609.40, 2,220.72 and 946.82 is: 1,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.40 : 2,220.72 = 946.82 : x
  2. Step 2: Convert to fraction form
    1,609.40/2,220.72 = 946.82/x
  3. Step 3: Cross multiply
    1,609.40x = 2,220.72 × 946.82
  4. Step 4: Simplify right side
    1,609.40x = 2,102,622.11
  5. Step 5: Solve for x
    x = 2,102,622.11/1,609.40
  6. Step 6: Final answer
    x = 1,306.46

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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.