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Finding the Fourth Proportional to 3,989.78, 5,984.68 and 1,392.71

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Solution

The fourth proportional to 3,989.78, 5,984.68 and 1,392.71 is: 2,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.78 : 5,984.68 = 1,392.71 : x
  2. Step 2: Convert to fraction form
    3,989.78/5,984.68 = 1,392.71/x
  3. Step 3: Cross multiply
    3,989.78x = 5,984.68 × 1,392.71
  4. Step 4: Simplify right side
    3,989.78x = 8,334,935.16
  5. Step 5: Solve for x
    x = 8,334,935.16/3,989.78
  6. Step 6: Final answer
    x = 2,089.07

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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.