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Finding the Fourth Proportional to 2,074.97, 3,112.54 and 688.43

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Solution

The fourth proportional to 2,074.97, 3,112.54 and 688.43 is: 1,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.97 : 3,112.54 = 688.43 : x
  2. Step 2: Convert to fraction form
    2,074.97/3,112.54 = 688.43/x
  3. Step 3: Cross multiply
    2,074.97x = 3,112.54 × 688.43
  4. Step 4: Simplify right side
    2,074.97x = 2,142,748.63
  5. Step 5: Solve for x
    x = 2,142,748.63/2,074.97
  6. Step 6: Final answer
    x = 1,032.67

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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.