Home / 2,154.28-3,228.81-982.68

Finding the Fourth Proportional to 2,154.28, 3,228.81 and 982.68

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Solution

The fourth proportional to 2,154.28, 3,228.81 and 982.68 is: 1,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.28 : 3,228.81 = 982.68 : x
  2. Step 2: Convert to fraction form
    2,154.28/3,228.81 = 982.68/x
  3. Step 3: Cross multiply
    2,154.28x = 3,228.81 × 982.68
  4. Step 4: Simplify right side
    2,154.28x = 3,172,871.22
  5. Step 5: Solve for x
    x = 3,172,871.22/2,154.28
  6. Step 6: Final answer
    x = 1,472.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.