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Finding the Fourth Proportional to 6,878.16, 9,488.52 and 4,081.68

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Solution

The fourth proportional to 6,878.16, 9,488.52 and 4,081.68 is: 5,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.16 : 9,488.52 = 4,081.68 : x
  2. Step 2: Convert to fraction form
    6,878.16/9,488.52 = 4,081.68/x
  3. Step 3: Cross multiply
    6,878.16x = 9,488.52 × 4,081.68
  4. Step 4: Simplify right side
    6,878.16x = 38,729,102.31
  5. Step 5: Solve for x
    x = 38,729,102.31/6,878.16
  6. Step 6: Final answer
    x = 5,630.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.