Home / 1,609.54-2,220.78-946.14

Finding the Fourth Proportional to 1,609.54, 2,220.78 and 946.14

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Solution

The fourth proportional to 1,609.54, 2,220.78 and 946.14 is: 1,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.54 : 2,220.78 = 946.14 : x
  2. Step 2: Convert to fraction form
    1,609.54/2,220.78 = 946.14/x
  3. Step 3: Cross multiply
    1,609.54x = 2,220.78 × 946.14
  4. Step 4: Simplify right side
    1,609.54x = 2,101,168.79
  5. Step 5: Solve for x
    x = 2,101,168.79/1,609.54
  6. Step 6: Final answer
    x = 1,305.45

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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.