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Finding the Fourth Proportional to 7,716, 11,579.28 and 3,333.96

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Solution

The fourth proportional to 7,716, 11,579.28 and 3,333.96 is: 5,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716 : 11,579.28 = 3,333.96 : x
  2. Step 2: Convert to fraction form
    7,716/11,579.28 = 3,333.96/x
  3. Step 3: Cross multiply
    7,716x = 11,579.28 × 3,333.96
  4. Step 4: Simplify right side
    7,716x = 38,604,856.35
  5. Step 5: Solve for x
    x = 38,604,856.35/7,716
  6. Step 6: Final answer
    x = 5,003.22

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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.