Home / 1,983.42-2,971.29-1,526.46

Finding the Fourth Proportional to 1,983.42, 2,971.29 and 1,526.46

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Solution

The fourth proportional to 1,983.42, 2,971.29 and 1,526.46 is: 2,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.42 : 2,971.29 = 1,526.46 : x
  2. Step 2: Convert to fraction form
    1,983.42/2,971.29 = 1,526.46/x
  3. Step 3: Cross multiply
    1,983.42x = 2,971.29 × 1,526.46
  4. Step 4: Simplify right side
    1,983.42x = 4,535,555.33
  5. Step 5: Solve for x
    x = 4,535,555.33/1,983.42
  6. Step 6: Final answer
    x = 2,286.73

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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.