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Finding the Fourth Proportional to 5,200.10, 7,797.41 and 4,472.92

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Solution

The fourth proportional to 5,200.10, 7,797.41 and 4,472.92 is: 6,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.10 : 7,797.41 = 4,472.92 : x
  2. Step 2: Convert to fraction form
    5,200.10/7,797.41 = 4,472.92/x
  3. Step 3: Cross multiply
    5,200.10x = 7,797.41 × 4,472.92
  4. Step 4: Simplify right side
    5,200.10x = 34,877,129.79
  5. Step 5: Solve for x
    x = 34,877,129.79/5,200.10
  6. Step 6: Final answer
    x = 6,707.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.