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Finding the Fourth Proportional to 3,949.04, 5,922.48 and 1,640

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Solution

The fourth proportional to 3,949.04, 5,922.48 and 1,640 is: 2,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.04 : 5,922.48 = 1,640 : x
  2. Step 2: Convert to fraction form
    3,949.04/5,922.48 = 1,640/x
  3. Step 3: Cross multiply
    3,949.04x = 5,922.48 × 1,640
  4. Step 4: Simplify right side
    3,949.04x = 9,712,867.20
  5. Step 5: Solve for x
    x = 9,712,867.20/3,949.04
  6. Step 6: Final answer
    x = 2,459.55

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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.