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Finding the Fourth Proportional to 2,035.87, 3,054.12 and 649.21

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Solution

The fourth proportional to 2,035.87, 3,054.12 and 649.21 is: 973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.87 : 3,054.12 = 649.21 : x
  2. Step 2: Convert to fraction form
    2,035.87/3,054.12 = 649.21/x
  3. Step 3: Cross multiply
    2,035.87x = 3,054.12 × 649.21
  4. Step 4: Simplify right side
    2,035.87x = 1,982,765.25
  5. Step 5: Solve for x
    x = 1,982,765.25/2,035.87
  6. Step 6: Final answer
    x = 973.92

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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.