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Finding the Fourth Proportional to 11,424.80, 15,747.36 and 7,646.64

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Solution

The fourth proportional to 11,424.80, 15,747.36 and 7,646.64 is: 10,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.80 : 15,747.36 = 7,646.64 : x
  2. Step 2: Convert to fraction form
    11,424.80/15,747.36 = 7,646.64/x
  3. Step 3: Cross multiply
    11,424.80x = 15,747.36 × 7,646.64
  4. Step 4: Simplify right side
    11,424.80x = 120,414,392.87
  5. Step 5: Solve for x
    x = 120,414,392.87/11,424.80
  6. Step 6: Final answer
    x = 10,539.74

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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.