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Finding the Fourth Proportional to 3,342.09, 5,012.72 and 1,002.11

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Solution

The fourth proportional to 3,342.09, 5,012.72 and 1,002.11 is: 1,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.09 : 5,012.72 = 1,002.11 : x
  2. Step 2: Convert to fraction form
    3,342.09/5,012.72 = 1,002.11/x
  3. Step 3: Cross multiply
    3,342.09x = 5,012.72 × 1,002.11
  4. Step 4: Simplify right side
    3,342.09x = 5,023,270.52
  5. Step 5: Solve for x
    x = 5,023,270.52/3,342.09
  6. Step 6: Final answer
    x = 1,503.03

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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.