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Finding the Fourth Proportional to 3,622.82, 5,434.16 and 1,314.32

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Solution

The fourth proportional to 3,622.82, 5,434.16 and 1,314.32 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.82 : 5,434.16 = 1,314.32 : x
  2. Step 2: Convert to fraction form
    3,622.82/5,434.16 = 1,314.32/x
  3. Step 3: Cross multiply
    3,622.82x = 5,434.16 × 1,314.32
  4. Step 4: Simplify right side
    3,622.82x = 7,142,191.43
  5. Step 5: Solve for x
    x = 7,142,191.43/3,622.82
  6. Step 6: Final answer
    x = 1,971.45

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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.