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Finding the Fourth Proportional to 4,747.32, 7,111.20 and 3,817.86

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Solution

The fourth proportional to 4,747.32, 7,111.20 and 3,817.86 is: 5,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.32 : 7,111.20 = 3,817.86 : x
  2. Step 2: Convert to fraction form
    4,747.32/7,111.20 = 3,817.86/x
  3. Step 3: Cross multiply
    4,747.32x = 7,111.20 × 3,817.86
  4. Step 4: Simplify right side
    4,747.32x = 27,149,566.03
  5. Step 5: Solve for x
    x = 27,149,566.03/4,747.32
  6. Step 6: Final answer
    x = 5,718.92

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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.