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Finding the Fourth Proportional to 3,948.13, 5,922.21 and 1,639.63

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Solution

The fourth proportional to 3,948.13, 5,922.21 and 1,639.63 is: 2,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.13 : 5,922.21 = 1,639.63 : x
  2. Step 2: Convert to fraction form
    3,948.13/5,922.21 = 1,639.63/x
  3. Step 3: Cross multiply
    3,948.13x = 5,922.21 × 1,639.63
  4. Step 4: Simplify right side
    3,948.13x = 9,710,203.57
  5. Step 5: Solve for x
    x = 9,710,203.57/3,948.13
  6. Step 6: Final answer
    x = 2,459.45

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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.