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Finding the Fourth Proportional to 3,712, 5,122.42 and 2,219.56

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Solution

The fourth proportional to 3,712, 5,122.42 and 2,219.56 is: 3,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,122.42 = 2,219.56 : x
  2. Step 2: Convert to fraction form
    3,712/5,122.42 = 2,219.56/x
  3. Step 3: Cross multiply
    3,712x = 5,122.42 × 2,219.56
  4. Step 4: Simplify right side
    3,712x = 11,369,518.54
  5. Step 5: Solve for x
    x = 11,369,518.54/3,712
  6. Step 6: Final answer
    x = 3,062.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.