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Finding the Fourth Proportional to 4,702.44, 7,061.28 and 3,879

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Solution

The fourth proportional to 4,702.44, 7,061.28 and 3,879 is: 5,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.44 : 7,061.28 = 3,879 : x
  2. Step 2: Convert to fraction form
    4,702.44/7,061.28 = 3,879/x
  3. Step 3: Cross multiply
    4,702.44x = 7,061.28 × 3,879
  4. Step 4: Simplify right side
    4,702.44x = 27,390,705.12
  5. Step 5: Solve for x
    x = 27,390,705.12/4,702.44
  6. Step 6: Final answer
    x = 5,824.79

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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.