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Finding the Fourth Proportional to 7,812.86, 11,706.30 and 5,499.50

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Solution

The fourth proportional to 7,812.86, 11,706.30 and 5,499.50 is: 8,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.86 : 11,706.30 = 5,499.50 : x
  2. Step 2: Convert to fraction form
    7,812.86/11,706.30 = 5,499.50/x
  3. Step 3: Cross multiply
    7,812.86x = 11,706.30 × 5,499.50
  4. Step 4: Simplify right side
    7,812.86x = 64,378,796.85
  5. Step 5: Solve for x
    x = 64,378,796.85/7,812.86
  6. Step 6: Final answer
    x = 8,240.11

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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.