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Finding the Fourth Proportional to 7,773.92, 11,663.04 and 3,391.76

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Solution

The fourth proportional to 7,773.92, 11,663.04 and 3,391.76 is: 5,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.92 : 11,663.04 = 3,391.76 : x
  2. Step 2: Convert to fraction form
    7,773.92/11,663.04 = 3,391.76/x
  3. Step 3: Cross multiply
    7,773.92x = 11,663.04 × 3,391.76
  4. Step 4: Simplify right side
    7,773.92x = 39,558,232.55
  5. Step 5: Solve for x
    x = 39,558,232.55/7,773.92
  6. Step 6: Final answer
    x = 5,088.58

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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.