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Finding the Fourth Proportional to 2,050.06, 3,073.43 and 643.76

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Solution

The fourth proportional to 2,050.06, 3,073.43 and 643.76 is: 965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.06 : 3,073.43 = 643.76 : x
  2. Step 2: Convert to fraction form
    2,050.06/3,073.43 = 643.76/x
  3. Step 3: Cross multiply
    2,050.06x = 3,073.43 × 643.76
  4. Step 4: Simplify right side
    2,050.06x = 1,978,551.30
  5. Step 5: Solve for x
    x = 1,978,551.30/2,050.06
  6. Step 6: Final answer
    x = 965.12

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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.