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Finding the Fourth Proportional to 8,914.71, 13,362.82 and 5,205.67

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Solution

The fourth proportional to 8,914.71, 13,362.82 and 5,205.67 is: 7,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.71 : 13,362.82 = 5,205.67 : x
  2. Step 2: Convert to fraction form
    8,914.71/13,362.82 = 5,205.67/x
  3. Step 3: Cross multiply
    8,914.71x = 13,362.82 × 5,205.67
  4. Step 4: Simplify right side
    8,914.71x = 69,562,414.05
  5. Step 5: Solve for x
    x = 69,562,414.05/8,914.71
  6. Step 6: Final answer
    x = 7,803.11

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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.