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Finding the Fourth Proportional to 7,983.71, 10,999.15 and 6,304.50

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Solution

The fourth proportional to 7,983.71, 10,999.15 and 6,304.50 is: 8,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.71 : 10,999.15 = 6,304.50 : x
  2. Step 2: Convert to fraction form
    7,983.71/10,999.15 = 6,304.50/x
  3. Step 3: Cross multiply
    7,983.71x = 10,999.15 × 6,304.50
  4. Step 4: Simplify right side
    7,983.71x = 69,344,141.18
  5. Step 5: Solve for x
    x = 69,344,141.18/7,983.71
  6. Step 6: Final answer
    x = 8,685.70

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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.