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Finding the Fourth Proportional to 2,643.43, 3,647.76 and 1,464.46

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Solution

The fourth proportional to 2,643.43, 3,647.76 and 1,464.46 is: 2,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.43 : 3,647.76 = 1,464.46 : x
  2. Step 2: Convert to fraction form
    2,643.43/3,647.76 = 1,464.46/x
  3. Step 3: Cross multiply
    2,643.43x = 3,647.76 × 1,464.46
  4. Step 4: Simplify right side
    2,643.43x = 5,341,998.61
  5. Step 5: Solve for x
    x = 5,341,998.61/2,643.43
  6. Step 6: Final answer
    x = 2,020.86

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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.