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Finding the Fourth Proportional to 1,538.28, 2,123 and 940.80

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Solution

The fourth proportional to 1,538.28, 2,123 and 940.80 is: 1,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.28 : 2,123 = 940.80 : x
  2. Step 2: Convert to fraction form
    1,538.28/2,123 = 940.80/x
  3. Step 3: Cross multiply
    1,538.28x = 2,123 × 940.80
  4. Step 4: Simplify right side
    1,538.28x = 1,997,318.40
  5. Step 5: Solve for x
    x = 1,997,318.40/1,538.28
  6. Step 6: Final answer
    x = 1,298.41

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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.