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Finding the Fourth Proportional to 3,420.72, 5,130 and 2,170.44

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Solution

The fourth proportional to 3,420.72, 5,130 and 2,170.44 is: 3,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.72 : 5,130 = 2,170.44 : x
  2. Step 2: Convert to fraction form
    3,420.72/5,130 = 2,170.44/x
  3. Step 3: Cross multiply
    3,420.72x = 5,130 × 2,170.44
  4. Step 4: Simplify right side
    3,420.72x = 11,134,357.20
  5. Step 5: Solve for x
    x = 11,134,357.20/3,420.72
  6. Step 6: Final answer
    x = 3,254.97

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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.