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Finding the Fourth Proportional to 5,216.47, 7,806.07 and 4,531.21

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Solution

The fourth proportional to 5,216.47, 7,806.07 and 4,531.21 is: 6,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.47 : 7,806.07 = 4,531.21 : x
  2. Step 2: Convert to fraction form
    5,216.47/7,806.07 = 4,531.21/x
  3. Step 3: Cross multiply
    5,216.47x = 7,806.07 × 4,531.21
  4. Step 4: Simplify right side
    5,216.47x = 35,370,942.44
  5. Step 5: Solve for x
    x = 35,370,942.44/5,216.47
  6. Step 6: Final answer
    x = 6,780.63

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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.