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Finding the Fourth Proportional to 4,743.62, 7,147.06 and 4,281.92

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Solution

The fourth proportional to 4,743.62, 7,147.06 and 4,281.92 is: 6,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.62 : 7,147.06 = 4,281.92 : x
  2. Step 2: Convert to fraction form
    4,743.62/7,147.06 = 4,281.92/x
  3. Step 3: Cross multiply
    4,743.62x = 7,147.06 × 4,281.92
  4. Step 4: Simplify right side
    4,743.62x = 30,603,117.75
  5. Step 5: Solve for x
    x = 30,603,117.75/4,743.62
  6. Step 6: Final answer
    x = 6,451.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.