Home / 2,282.81-3,406.29-2,143.49

Finding the Fourth Proportional to 2,282.81, 3,406.29 and 2,143.49

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Solution

The fourth proportional to 2,282.81, 3,406.29 and 2,143.49 is: 3,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.81 : 3,406.29 = 2,143.49 : x
  2. Step 2: Convert to fraction form
    2,282.81/3,406.29 = 2,143.49/x
  3. Step 3: Cross multiply
    2,282.81x = 3,406.29 × 2,143.49
  4. Step 4: Simplify right side
    2,282.81x = 7,301,331.52
  5. Step 5: Solve for x
    x = 7,301,331.52/2,282.81
  6. Step 6: Final answer
    x = 3,198.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.