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Finding the Fourth Proportional to 7,121.60, 9,827.52 and 4,137.52

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Solution

The fourth proportional to 7,121.60, 9,827.52 and 4,137.52 is: 5,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.60 : 9,827.52 = 4,137.52 : x
  2. Step 2: Convert to fraction form
    7,121.60/9,827.52 = 4,137.52/x
  3. Step 3: Cross multiply
    7,121.60x = 9,827.52 × 4,137.52
  4. Step 4: Simplify right side
    7,121.60x = 40,661,560.55
  5. Step 5: Solve for x
    x = 40,661,560.55/7,121.60
  6. Step 6: Final answer
    x = 5,709.61

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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.