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Finding the Fourth Proportional to 2,026.48, 3,039.72 and 639.84

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Solution

The fourth proportional to 2,026.48, 3,039.72 and 639.84 is: 959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.48 : 3,039.72 = 639.84 : x
  2. Step 2: Convert to fraction form
    2,026.48/3,039.72 = 639.84/x
  3. Step 3: Cross multiply
    2,026.48x = 3,039.72 × 639.84
  4. Step 4: Simplify right side
    2,026.48x = 1,944,934.44
  5. Step 5: Solve for x
    x = 1,944,934.44/2,026.48
  6. Step 6: Final answer
    x = 959.76

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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.