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Finding the Fourth Proportional to 2,788.47, 4,183.34 and 1,402.47

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Solution

The fourth proportional to 2,788.47, 4,183.34 and 1,402.47 is: 2,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.47 : 4,183.34 = 1,402.47 : x
  2. Step 2: Convert to fraction form
    2,788.47/4,183.34 = 1,402.47/x
  3. Step 3: Cross multiply
    2,788.47x = 4,183.34 × 1,402.47
  4. Step 4: Simplify right side
    2,788.47x = 5,867,001.84
  5. Step 5: Solve for x
    x = 5,867,001.84/2,788.47
  6. Step 6: Final answer
    x = 2,104.02

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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.