Home / 1,538.57-2,123.19-839.94

Finding the Fourth Proportional to 1,538.57, 2,123.19 and 839.94

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Solution

The fourth proportional to 1,538.57, 2,123.19 and 839.94 is: 1,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.57 : 2,123.19 = 839.94 : x
  2. Step 2: Convert to fraction form
    1,538.57/2,123.19 = 839.94/x
  3. Step 3: Cross multiply
    1,538.57x = 2,123.19 × 839.94
  4. Step 4: Simplify right side
    1,538.57x = 1,783,352.21
  5. Step 5: Solve for x
    x = 1,783,352.21/1,538.57
  6. Step 6: Final answer
    x = 1,159.10

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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.