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Finding the Fourth Proportional to 1,805.46, 2,491.02 and 1,142.07

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Solution

The fourth proportional to 1,805.46, 2,491.02 and 1,142.07 is: 1,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.46 : 2,491.02 = 1,142.07 : x
  2. Step 2: Convert to fraction form
    1,805.46/2,491.02 = 1,142.07/x
  3. Step 3: Cross multiply
    1,805.46x = 2,491.02 × 1,142.07
  4. Step 4: Simplify right side
    1,805.46x = 2,844,919.21
  5. Step 5: Solve for x
    x = 2,844,919.21/1,805.46
  6. Step 6: Final answer
    x = 1,575.73

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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.