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Finding the Fourth Proportional to 3,812.69, 5,261.47 and 2,134.10

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Solution

The fourth proportional to 3,812.69, 5,261.47 and 2,134.10 is: 2,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.69 : 5,261.47 = 2,134.10 : x
  2. Step 2: Convert to fraction form
    3,812.69/5,261.47 = 2,134.10/x
  3. Step 3: Cross multiply
    3,812.69x = 5,261.47 × 2,134.10
  4. Step 4: Simplify right side
    3,812.69x = 11,228,503.13
  5. Step 5: Solve for x
    x = 11,228,503.13/3,812.69
  6. Step 6: Final answer
    x = 2,945.03

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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.