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Finding the Fourth Proportional to 1,919.74, 2,879.84 and 687.28

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Solution

The fourth proportional to 1,919.74, 2,879.84 and 687.28 is: 1,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.74 : 2,879.84 = 687.28 : x
  2. Step 2: Convert to fraction form
    1,919.74/2,879.84 = 687.28/x
  3. Step 3: Cross multiply
    1,919.74x = 2,879.84 × 687.28
  4. Step 4: Simplify right side
    1,919.74x = 1,979,256.44
  5. Step 5: Solve for x
    x = 1,979,256.44/1,919.74
  6. Step 6: Final answer
    x = 1,031.00

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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.