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Finding the Fourth Proportional to 5,212.86, 7,820.61 and 1,515

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Solution

The fourth proportional to 5,212.86, 7,820.61 and 1,515 is: 2,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.86 : 7,820.61 = 1,515 : x
  2. Step 2: Convert to fraction form
    5,212.86/7,820.61 = 1,515/x
  3. Step 3: Cross multiply
    5,212.86x = 7,820.61 × 1,515
  4. Step 4: Simplify right side
    5,212.86x = 11,848,224.15
  5. Step 5: Solve for x
    x = 11,848,224.15/5,212.86
  6. Step 6: Final answer
    x = 2,272.88

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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.