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Finding the Fourth Proportional to 8,250.66, 11,388 and 4,715.96

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Solution

The fourth proportional to 8,250.66, 11,388 and 4,715.96 is: 6,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.66 : 11,388 = 4,715.96 : x
  2. Step 2: Convert to fraction form
    8,250.66/11,388 = 4,715.96/x
  3. Step 3: Cross multiply
    8,250.66x = 11,388 × 4,715.96
  4. Step 4: Simplify right side
    8,250.66x = 53,705,352.48
  5. Step 5: Solve for x
    x = 53,705,352.48/8,250.66
  6. Step 6: Final answer
    x = 6,509.22

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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.