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Finding the Fourth Proportional to 1,774.92, 2,664.18 and 1,126.20

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Solution

The fourth proportional to 1,774.92, 2,664.18 and 1,126.20 is: 1,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.92 : 2,664.18 = 1,126.20 : x
  2. Step 2: Convert to fraction form
    1,774.92/2,664.18 = 1,126.20/x
  3. Step 3: Cross multiply
    1,774.92x = 2,664.18 × 1,126.20
  4. Step 4: Simplify right side
    1,774.92x = 3,000,399.52
  5. Step 5: Solve for x
    x = 3,000,399.52/1,774.92
  6. Step 6: Final answer
    x = 1,690.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.