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Finding the Fourth Proportional to 3,712, 5,568.18 and 1,403.68

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Solution

The fourth proportional to 3,712, 5,568.18 and 1,403.68 is: 2,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,568.18 = 1,403.68 : x
  2. Step 2: Convert to fraction form
    3,712/5,568.18 = 1,403.68/x
  3. Step 3: Cross multiply
    3,712x = 5,568.18 × 1,403.68
  4. Step 4: Simplify right side
    3,712x = 7,815,942.90
  5. Step 5: Solve for x
    x = 7,815,942.90/3,712
  6. Step 6: Final answer
    x = 2,105.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.