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Finding the Fourth Proportional to 11,517, 15,893.64 and 7,330.92

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Solution

The fourth proportional to 11,517, 15,893.64 and 7,330.92 is: 10,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 15,893.64 = 7,330.92 : x
  2. Step 2: Convert to fraction form
    11,517/15,893.64 = 7,330.92/x
  3. Step 3: Cross multiply
    11,517x = 15,893.64 × 7,330.92
  4. Step 4: Simplify right side
    11,517x = 116,515,003.35
  5. Step 5: Solve for x
    x = 116,515,003.35/11,517
  6. Step 6: Final answer
    x = 10,116.78

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1.5x scale

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.