Home / 1,538.44-2,123.06-839.81

Finding the Fourth Proportional to 1,538.44, 2,123.06 and 839.81

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Solution

The fourth proportional to 1,538.44, 2,123.06 and 839.81 is: 1,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.44 : 2,123.06 = 839.81 : x
  2. Step 2: Convert to fraction form
    1,538.44/2,123.06 = 839.81/x
  3. Step 3: Cross multiply
    1,538.44x = 2,123.06 × 839.81
  4. Step 4: Simplify right side
    1,538.44x = 1,782,968.13
  5. Step 5: Solve for x
    x = 1,782,968.13/1,538.44
  6. Step 6: Final answer
    x = 1,158.95

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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.