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Finding the Fourth Proportional to 7,817.82, 11,713.08 and 6,510

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Solution

The fourth proportional to 7,817.82, 11,713.08 and 6,510 is: 9,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.82 : 11,713.08 = 6,510 : x
  2. Step 2: Convert to fraction form
    7,817.82/11,713.08 = 6,510/x
  3. Step 3: Cross multiply
    7,817.82x = 11,713.08 × 6,510
  4. Step 4: Simplify right side
    7,817.82x = 76,252,150.80
  5. Step 5: Solve for x
    x = 76,252,150.80/7,817.82
  6. Step 6: Final answer
    x = 9,753.63

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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.