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Finding the Fourth Proportional to 4,678.78, 6,464.94 and 3,742.31

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Solution

The fourth proportional to 4,678.78, 6,464.94 and 3,742.31 is: 5,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.78 : 6,464.94 = 3,742.31 : x
  2. Step 2: Convert to fraction form
    4,678.78/6,464.94 = 3,742.31/x
  3. Step 3: Cross multiply
    4,678.78x = 6,464.94 × 3,742.31
  4. Step 4: Simplify right side
    4,678.78x = 24,193,809.61
  5. Step 5: Solve for x
    x = 24,193,809.61/4,678.78
  6. Step 6: Final answer
    x = 5,170.97

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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.