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Finding the Fourth Proportional to 3,989.42, 5,983.95 and 1,356.82

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Solution

The fourth proportional to 3,989.42, 5,983.95 and 1,356.82 is: 2,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.42 : 5,983.95 = 1,356.82 : x
  2. Step 2: Convert to fraction form
    3,989.42/5,983.95 = 1,356.82/x
  3. Step 3: Cross multiply
    3,989.42x = 5,983.95 × 1,356.82
  4. Step 4: Simplify right side
    3,989.42x = 8,119,128.08
  5. Step 5: Solve for x
    x = 8,119,128.08/3,989.42
  6. Step 6: Final answer
    x = 2,035.17

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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.