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Finding the Fourth Proportional to 6,442.78, 9,661.72 and 2,746.74

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Solution

The fourth proportional to 6,442.78, 9,661.72 and 2,746.74 is: 4,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.78 : 9,661.72 = 2,746.74 : x
  2. Step 2: Convert to fraction form
    6,442.78/9,661.72 = 2,746.74/x
  3. Step 3: Cross multiply
    6,442.78x = 9,661.72 × 2,746.74
  4. Step 4: Simplify right side
    6,442.78x = 26,538,232.79
  5. Step 5: Solve for x
    x = 26,538,232.79/6,442.78
  6. Step 6: Final answer
    x = 4,119.07

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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.