Home / 1,538.39-2,122.90-941.88

Finding the Fourth Proportional to 1,538.39, 2,122.90 and 941.88

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Solution

The fourth proportional to 1,538.39, 2,122.90 and 941.88 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.39 : 2,122.90 = 941.88 : x
  2. Step 2: Convert to fraction form
    1,538.39/2,122.90 = 941.88/x
  3. Step 3: Cross multiply
    1,538.39x = 2,122.90 × 941.88
  4. Step 4: Simplify right side
    1,538.39x = 1,999,506.44
  5. Step 5: Solve for x
    x = 1,999,506.44/1,538.39
  6. Step 6: Final answer
    x = 1,299.74

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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.