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Finding the Fourth Proportional to 7,882.84, 11,806.36 and 6,113.64

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Solution

The fourth proportional to 7,882.84, 11,806.36 and 6,113.64 is: 9,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.84 : 11,806.36 = 6,113.64 : x
  2. Step 2: Convert to fraction form
    7,882.84/11,806.36 = 6,113.64/x
  3. Step 3: Cross multiply
    7,882.84x = 11,806.36 × 6,113.64
  4. Step 4: Simplify right side
    7,882.84x = 72,179,834.75
  5. Step 5: Solve for x
    x = 72,179,834.75/7,882.84
  6. Step 6: Final answer
    x = 9,156.58

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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.