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Finding the Fourth Proportional to 2,762.52, 3,809.41 and 2,133.15

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Solution

The fourth proportional to 2,762.52, 3,809.41 and 2,133.15 is: 2,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.52 : 3,809.41 = 2,133.15 : x
  2. Step 2: Convert to fraction form
    2,762.52/3,809.41 = 2,133.15/x
  3. Step 3: Cross multiply
    2,762.52x = 3,809.41 × 2,133.15
  4. Step 4: Simplify right side
    2,762.52x = 8,126,023.32
  5. Step 5: Solve for x
    x = 8,126,023.32/2,762.52
  6. Step 6: Final answer
    x = 2,941.53

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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.