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Finding the Fourth Proportional to 4,872.70, 7,310.85 and 1,953.10

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Solution

The fourth proportional to 4,872.70, 7,310.85 and 1,953.10 is: 2,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.70 : 7,310.85 = 1,953.10 : x
  2. Step 2: Convert to fraction form
    4,872.70/7,310.85 = 1,953.10/x
  3. Step 3: Cross multiply
    4,872.70x = 7,310.85 × 1,953.10
  4. Step 4: Simplify right side
    4,872.70x = 14,278,821.14
  5. Step 5: Solve for x
    x = 14,278,821.14/4,872.70
  6. Step 6: Final answer
    x = 2,930.37

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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.