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Finding the Fourth Proportional to 10,228, 15,342 and 4,076.32

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Solution

The fourth proportional to 10,228, 15,342 and 4,076.32 is: 6,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 15,342 = 4,076.32 : x
  2. Step 2: Convert to fraction form
    10,228/15,342 = 4,076.32/x
  3. Step 3: Cross multiply
    10,228x = 15,342 × 4,076.32
  4. Step 4: Simplify right side
    10,228x = 62,538,901.44
  5. Step 5: Solve for x
    x = 62,538,901.44/10,228
  6. Step 6: Final answer
    x = 6,114.48

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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.