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Finding the Fourth Proportional to 3,742.74, 5,607.48 and 3,520.50

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Solution

The fourth proportional to 3,742.74, 5,607.48 and 3,520.50 is: 5,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.74 : 5,607.48 = 3,520.50 : x
  2. Step 2: Convert to fraction form
    3,742.74/5,607.48 = 3,520.50/x
  3. Step 3: Cross multiply
    3,742.74x = 5,607.48 × 3,520.50
  4. Step 4: Simplify right side
    3,742.74x = 19,741,133.34
  5. Step 5: Solve for x
    x = 19,741,133.34/3,742.74
  6. Step 6: Final answer
    x = 5,274.51

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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.