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Finding the Fourth Proportional to 3,712, 5,122.47 and 2,033.48

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Solution

The fourth proportional to 3,712, 5,122.47 and 2,033.48 is: 2,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,122.47 = 2,033.48 : x
  2. Step 2: Convert to fraction form
    3,712/5,122.47 = 2,033.48/x
  3. Step 3: Cross multiply
    3,712x = 5,122.47 × 2,033.48
  4. Step 4: Simplify right side
    3,712x = 10,416,440.30
  5. Step 5: Solve for x
    x = 10,416,440.30/3,712
  6. Step 6: Final answer
    x = 2,806.15

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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.