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Finding the Fourth Proportional to 2,342.56, 3,512.84 and 880.70

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Solution

The fourth proportional to 2,342.56, 3,512.84 and 880.70 is: 1,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.56 : 3,512.84 = 880.70 : x
  2. Step 2: Convert to fraction form
    2,342.56/3,512.84 = 880.70/x
  3. Step 3: Cross multiply
    2,342.56x = 3,512.84 × 880.70
  4. Step 4: Simplify right side
    2,342.56x = 3,093,758.19
  5. Step 5: Solve for x
    x = 3,093,758.19/2,342.56
  6. Step 6: Final answer
    x = 1,320.67

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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.