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Finding the Fourth Proportional to 5,493.78, 8,240.64 and 2,415.78

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Solution

The fourth proportional to 5,493.78, 8,240.64 and 2,415.78 is: 3,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.78 : 8,240.64 = 2,415.78 : x
  2. Step 2: Convert to fraction form
    5,493.78/8,240.64 = 2,415.78/x
  3. Step 3: Cross multiply
    5,493.78x = 8,240.64 × 2,415.78
  4. Step 4: Simplify right side
    5,493.78x = 19,907,573.30
  5. Step 5: Solve for x
    x = 19,907,573.30/5,493.78
  6. Step 6: Final answer
    x = 3,623.66

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1.5x scale

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.