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Finding the Fourth Proportional to 2,114.76, 3,169.38 and 880.74

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Solution

The fourth proportional to 2,114.76, 3,169.38 and 880.74 is: 1,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.76 : 3,169.38 = 880.74 : x
  2. Step 2: Convert to fraction form
    2,114.76/3,169.38 = 880.74/x
  3. Step 3: Cross multiply
    2,114.76x = 3,169.38 × 880.74
  4. Step 4: Simplify right side
    2,114.76x = 2,791,399.74
  5. Step 5: Solve for x
    x = 2,791,399.74/2,114.76
  6. Step 6: Final answer
    x = 1,319.96

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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.