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Finding the Fourth Proportional to 6,774, 10,162.28 and 3,076.51

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Solution

The fourth proportional to 6,774, 10,162.28 and 3,076.51 is: 4,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 10,162.28 = 3,076.51 : x
  2. Step 2: Convert to fraction form
    6,774/10,162.28 = 3,076.51/x
  3. Step 3: Cross multiply
    6,774x = 10,162.28 × 3,076.51
  4. Step 4: Simplify right side
    6,774x = 31,264,356.04
  5. Step 5: Solve for x
    x = 31,264,356.04/6,774
  6. Step 6: Final answer
    x = 4,615.35

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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.