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Finding the Fourth Proportional to 6,415.60, 8,843.16 and 5,234.80

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Solution

The fourth proportional to 6,415.60, 8,843.16 and 5,234.80 is: 7,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.60 : 8,843.16 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    6,415.60/8,843.16 = 5,234.80/x
  3. Step 3: Cross multiply
    6,415.60x = 8,843.16 × 5,234.80
  4. Step 4: Simplify right side
    6,415.60x = 46,292,173.97
  5. Step 5: Solve for x
    x = 46,292,173.97/6,415.60
  6. Step 6: Final answer
    x = 7,215.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.