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Finding the Fourth Proportional to 5,219.89, 7,829.43 and 1,522.15

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Solution

The fourth proportional to 5,219.89, 7,829.43 and 1,522.15 is: 2,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.89 : 7,829.43 = 1,522.15 : x
  2. Step 2: Convert to fraction form
    5,219.89/7,829.43 = 1,522.15/x
  3. Step 3: Cross multiply
    5,219.89x = 7,829.43 × 1,522.15
  4. Step 4: Simplify right side
    5,219.89x = 11,917,566.87
  5. Step 5: Solve for x
    x = 11,917,566.87/5,219.89
  6. Step 6: Final answer
    x = 2,283.11

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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.