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Finding the Fourth Proportional to 11,517, 15,893.46 and 6,801.36

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Solution

The fourth proportional to 11,517, 15,893.46 and 6,801.36 is: 9,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 15,893.46 = 6,801.36 : x
  2. Step 2: Convert to fraction form
    11,517/15,893.46 = 6,801.36/x
  3. Step 3: Cross multiply
    11,517x = 15,893.46 × 6,801.36
  4. Step 4: Simplify right side
    11,517x = 108,097,143.11
  5. Step 5: Solve for x
    x = 108,097,143.11/11,517
  6. Step 6: Final answer
    x = 9,385.88

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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.