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Finding the Fourth Proportional to 3,984.71, 5,977.08 and 1,389.47

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Solution

The fourth proportional to 3,984.71, 5,977.08 and 1,389.47 is: 2,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.71 : 5,977.08 = 1,389.47 : x
  2. Step 2: Convert to fraction form
    3,984.71/5,977.08 = 1,389.47/x
  3. Step 3: Cross multiply
    3,984.71x = 5,977.08 × 1,389.47
  4. Step 4: Simplify right side
    3,984.71x = 8,304,943.46
  5. Step 5: Solve for x
    x = 8,304,943.46/3,984.71
  6. Step 6: Final answer
    x = 2,084.21

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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.