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Finding the Fourth Proportional to 11,356.96, 15,672 and 6,320.92

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Solution

The fourth proportional to 11,356.96, 15,672 and 6,320.92 is: 8,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.96 : 15,672 = 6,320.92 : x
  2. Step 2: Convert to fraction form
    11,356.96/15,672 = 6,320.92/x
  3. Step 3: Cross multiply
    11,356.96x = 15,672 × 6,320.92
  4. Step 4: Simplify right side
    11,356.96x = 99,061,458.24
  5. Step 5: Solve for x
    x = 99,061,458.24/11,356.96
  6. Step 6: Final answer
    x = 8,722.53

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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.