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Finding the Fourth Proportional to 3,983.92, 5,973.54 and 1,642.12

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Solution

The fourth proportional to 3,983.92, 5,973.54 and 1,642.12 is: 2,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.92 : 5,973.54 = 1,642.12 : x
  2. Step 2: Convert to fraction form
    3,983.92/5,973.54 = 1,642.12/x
  3. Step 3: Cross multiply
    3,983.92x = 5,973.54 × 1,642.12
  4. Step 4: Simplify right side
    3,983.92x = 9,809,269.50
  5. Step 5: Solve for x
    x = 9,809,269.50/3,983.92
  6. Step 6: Final answer
    x = 2,462.22

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1.5x scale

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.