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Finding the Fourth Proportional to 4,758.60, 7,137.90 and 1,680.60

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Solution

The fourth proportional to 4,758.60, 7,137.90 and 1,680.60 is: 2,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.60 : 7,137.90 = 1,680.60 : x
  2. Step 2: Convert to fraction form
    4,758.60/7,137.90 = 1,680.60/x
  3. Step 3: Cross multiply
    4,758.60x = 7,137.90 × 1,680.60
  4. Step 4: Simplify right side
    4,758.60x = 11,995,954.74
  5. Step 5: Solve for x
    x = 11,995,954.74/4,758.60
  6. Step 6: Final answer
    x = 2,520.90

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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.