Home / 1,538.62-2,123.28-839.99

Finding the Fourth Proportional to 1,538.62, 2,123.28 and 839.99

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Solution

The fourth proportional to 1,538.62, 2,123.28 and 839.99 is: 1,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.62 : 2,123.28 = 839.99 : x
  2. Step 2: Convert to fraction form
    1,538.62/2,123.28 = 839.99/x
  3. Step 3: Cross multiply
    1,538.62x = 2,123.28 × 839.99
  4. Step 4: Simplify right side
    1,538.62x = 1,783,533.97
  5. Step 5: Solve for x
    x = 1,783,533.97/1,538.62
  6. Step 6: Final answer
    x = 1,159.18

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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.