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Finding the Fourth Proportional to 7,411.52, 10,222.20 and 5,172.68

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Solution

The fourth proportional to 7,411.52, 10,222.20 and 5,172.68 is: 7,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.52 : 10,222.20 = 5,172.68 : x
  2. Step 2: Convert to fraction form
    7,411.52/10,222.20 = 5,172.68/x
  3. Step 3: Cross multiply
    7,411.52x = 10,222.20 × 5,172.68
  4. Step 4: Simplify right side
    7,411.52x = 52,876,169.50
  5. Step 5: Solve for x
    x = 52,876,169.50/7,411.52
  6. Step 6: Final answer
    x = 7,134.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.