Home / 1,538.05-2,122.53-839.43

Finding the Fourth Proportional to 1,538.05, 2,122.53 and 839.43

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Solution

The fourth proportional to 1,538.05, 2,122.53 and 839.43 is: 1,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.05 : 2,122.53 = 839.43 : x
  2. Step 2: Convert to fraction form
    1,538.05/2,122.53 = 839.43/x
  3. Step 3: Cross multiply
    1,538.05x = 2,122.53 × 839.43
  4. Step 4: Simplify right side
    1,538.05x = 1,781,715.36
  5. Step 5: Solve for x
    x = 1,781,715.36/1,538.05
  6. Step 6: Final answer
    x = 1,158.42

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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.