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Finding the Fourth Proportional to 7,127.31, 9,836 and 3,983.50

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Solution

The fourth proportional to 7,127.31, 9,836 and 3,983.50 is: 5,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.31 : 9,836 = 3,983.50 : x
  2. Step 2: Convert to fraction form
    7,127.31/9,836 = 3,983.50/x
  3. Step 3: Cross multiply
    7,127.31x = 9,836 × 3,983.50
  4. Step 4: Simplify right side
    7,127.31x = 39,181,706
  5. Step 5: Solve for x
    x = 39,181,706/7,127.31
  6. Step 6: Final answer
    x = 5,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.