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Finding the Fourth Proportional to 11,356.74, 15,672.42 and 6,642.54

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Solution

The fourth proportional to 11,356.74, 15,672.42 and 6,642.54 is: 9,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.74 : 15,672.42 = 6,642.54 : x
  2. Step 2: Convert to fraction form
    11,356.74/15,672.42 = 6,642.54/x
  3. Step 3: Cross multiply
    11,356.74x = 15,672.42 × 6,642.54
  4. Step 4: Simplify right side
    11,356.74x = 104,104,676.75
  5. Step 5: Solve for x
    x = 104,104,676.75/11,356.74
  6. Step 6: Final answer
    x = 9,166.77

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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.