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Finding the Fourth Proportional to 10,092.64, 15,127.76 and 7,619.44

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Solution

The fourth proportional to 10,092.64, 15,127.76 and 7,619.44 is: 11,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.64 : 15,127.76 = 7,619.44 : x
  2. Step 2: Convert to fraction form
    10,092.64/15,127.76 = 7,619.44/x
  3. Step 3: Cross multiply
    10,092.64x = 15,127.76 × 7,619.44
  4. Step 4: Simplify right side
    10,092.64x = 115,265,059.65
  5. Step 5: Solve for x
    x = 115,265,059.65/10,092.64
  6. Step 6: Final answer
    x = 11,420.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.