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Finding the Fourth Proportional to 5,218.78, 7,828.94 and 1,520.53

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Solution

The fourth proportional to 5,218.78, 7,828.94 and 1,520.53 is: 2,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.78 : 7,828.94 = 1,520.53 : x
  2. Step 2: Convert to fraction form
    5,218.78/7,828.94 = 1,520.53/x
  3. Step 3: Cross multiply
    5,218.78x = 7,828.94 × 1,520.53
  4. Step 4: Simplify right side
    5,218.78x = 11,904,138.14
  5. Step 5: Solve for x
    x = 11,904,138.14/5,218.78
  6. Step 6: Final answer
    x = 2,281.02

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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.