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Finding the Fourth Proportional to 11,057.61, 15,261.61 and 6,278

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Solution

The fourth proportional to 11,057.61, 15,261.61 and 6,278 is: 8,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.61 : 15,261.61 = 6,278 : x
  2. Step 2: Convert to fraction form
    11,057.61/15,261.61 = 6,278/x
  3. Step 3: Cross multiply
    11,057.61x = 15,261.61 × 6,278
  4. Step 4: Simplify right side
    11,057.61x = 95,812,371.89
  5. Step 5: Solve for x
    x = 95,812,371.89/11,057.61
  6. Step 6: Final answer
    x = 8,664.84

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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.