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Finding the Fourth Proportional to 10,907.76, 15,052.56 and 6,192

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Solution

The fourth proportional to 10,907.76, 15,052.56 and 6,192 is: 8,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.76 : 15,052.56 = 6,192 : x
  2. Step 2: Convert to fraction form
    10,907.76/15,052.56 = 6,192/x
  3. Step 3: Cross multiply
    10,907.76x = 15,052.56 × 6,192
  4. Step 4: Simplify right side
    10,907.76x = 93,205,451.52
  5. Step 5: Solve for x
    x = 93,205,451.52/10,907.76
  6. Step 6: Final answer
    x = 8,544.88

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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.