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Finding the Fourth Proportional to 2,026.45, 3,039.68 and 487.45

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Solution

The fourth proportional to 2,026.45, 3,039.68 and 487.45 is: 731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.45 : 3,039.68 = 487.45 : x
  2. Step 2: Convert to fraction form
    2,026.45/3,039.68 = 487.45/x
  3. Step 3: Cross multiply
    2,026.45x = 3,039.68 × 487.45
  4. Step 4: Simplify right side
    2,026.45x = 1,481,701.82
  5. Step 5: Solve for x
    x = 1,481,701.82/2,026.45
  6. Step 6: Final answer
    x = 731.18

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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.