Home / 1,122.38-1,537.90-1,105.98

Finding the Fourth Proportional to 1,122.38, 1,537.90 and 1,105.98

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Solution

The fourth proportional to 1,122.38, 1,537.90 and 1,105.98 is: 1,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.38 : 1,537.90 = 1,105.98 : x
  2. Step 2: Convert to fraction form
    1,122.38/1,537.90 = 1,105.98/x
  3. Step 3: Cross multiply
    1,122.38x = 1,537.90 × 1,105.98
  4. Step 4: Simplify right side
    1,122.38x = 1,700,886.64
  5. Step 5: Solve for x
    x = 1,700,886.64/1,122.38
  6. Step 6: Final answer
    x = 1,515.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.