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Finding the Fourth Proportional to 7,328.38, 10,986 and 2,645.14

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Solution

The fourth proportional to 7,328.38, 10,986 and 2,645.14 is: 3,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.38 : 10,986 = 2,645.14 : x
  2. Step 2: Convert to fraction form
    7,328.38/10,986 = 2,645.14/x
  3. Step 3: Cross multiply
    7,328.38x = 10,986 × 2,645.14
  4. Step 4: Simplify right side
    7,328.38x = 29,059,508.04
  5. Step 5: Solve for x
    x = 29,059,508.04/7,328.38
  6. Step 6: Final answer
    x = 3,965.34

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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.