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Finding the Fourth Proportional to 3,739.68, 5,610 and 1,399.20

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Solution

The fourth proportional to 3,739.68, 5,610 and 1,399.20 is: 2,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.68 : 5,610 = 1,399.20 : x
  2. Step 2: Convert to fraction form
    3,739.68/5,610 = 1,399.20/x
  3. Step 3: Cross multiply
    3,739.68x = 5,610 × 1,399.20
  4. Step 4: Simplify right side
    3,739.68x = 7,849,512
  5. Step 5: Solve for x
    x = 7,849,512/3,739.68
  6. Step 6: Final answer
    x = 2,098.98

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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.