Home / 1,538.43-2,123.03-839.80

Finding the Fourth Proportional to 1,538.43, 2,123.03 and 839.80

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Solution

The fourth proportional to 1,538.43, 2,123.03 and 839.80 is: 1,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.43 : 2,123.03 = 839.80 : x
  2. Step 2: Convert to fraction form
    1,538.43/2,123.03 = 839.80/x
  3. Step 3: Cross multiply
    1,538.43x = 2,123.03 × 839.80
  4. Step 4: Simplify right side
    1,538.43x = 1,782,916.40
  5. Step 5: Solve for x
    x = 1,782,916.40/1,538.43
  6. Step 6: Final answer
    x = 1,158.92

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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.