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Finding the Fourth Proportional to 7,201.42, 10,795.74 and 3,689.48

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Solution

The fourth proportional to 7,201.42, 10,795.74 and 3,689.48 is: 5,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.42 : 10,795.74 = 3,689.48 : x
  2. Step 2: Convert to fraction form
    7,201.42/10,795.74 = 3,689.48/x
  3. Step 3: Cross multiply
    7,201.42x = 10,795.74 × 3,689.48
  4. Step 4: Simplify right side
    7,201.42x = 39,830,666.82
  5. Step 5: Solve for x
    x = 39,830,666.82/7,201.42
  6. Step 6: Final answer
    x = 5,530.95

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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.