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Finding the Fourth Proportional to 7,201.66, 9,940.14 and 4,690.04

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Solution

The fourth proportional to 7,201.66, 9,940.14 and 4,690.04 is: 6,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.66 : 9,940.14 = 4,690.04 : x
  2. Step 2: Convert to fraction form
    7,201.66/9,940.14 = 4,690.04/x
  3. Step 3: Cross multiply
    7,201.66x = 9,940.14 × 4,690.04
  4. Step 4: Simplify right side
    7,201.66x = 46,619,654.21
  5. Step 5: Solve for x
    x = 46,619,654.21/7,201.66
  6. Step 6: Final answer
    x = 6,473.46

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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.