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Finding the Fourth Proportional to 2,026.63, 3,039.94 and 487.63

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Solution

The fourth proportional to 2,026.63, 3,039.94 and 487.63 is: 731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.63 : 3,039.94 = 487.63 : x
  2. Step 2: Convert to fraction form
    2,026.63/3,039.94 = 487.63/x
  3. Step 3: Cross multiply
    2,026.63x = 3,039.94 × 487.63
  4. Step 4: Simplify right side
    2,026.63x = 1,482,350.74
  5. Step 5: Solve for x
    x = 1,482,350.74/2,026.63
  6. Step 6: Final answer
    x = 731.44

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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.