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Finding the Fourth Proportional to 11,056, 15,257.28 and 6,340.08

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Solution

The fourth proportional to 11,056, 15,257.28 and 6,340.08 is: 8,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056 : 15,257.28 = 6,340.08 : x
  2. Step 2: Convert to fraction form
    11,056/15,257.28 = 6,340.08/x
  3. Step 3: Cross multiply
    11,056x = 15,257.28 × 6,340.08
  4. Step 4: Simplify right side
    11,056x = 96,732,375.78
  5. Step 5: Solve for x
    x = 96,732,375.78/11,056
  6. Step 6: Final answer
    x = 8,749.31

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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.