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Finding the Fourth Proportional to 7,415.51, 10,229.94 and 4,269.87

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Solution

The fourth proportional to 7,415.51, 10,229.94 and 4,269.87 is: 5,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.51 : 10,229.94 = 4,269.87 : x
  2. Step 2: Convert to fraction form
    7,415.51/10,229.94 = 4,269.87/x
  3. Step 3: Cross multiply
    7,415.51x = 10,229.94 × 4,269.87
  4. Step 4: Simplify right side
    7,415.51x = 43,680,513.91
  5. Step 5: Solve for x
    x = 43,680,513.91/7,415.51
  6. Step 6: Final answer
    x = 5,890.43

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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.