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Finding the Fourth Proportional to 6,415.48, 8,853.42 and 3,583.09

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Solution

The fourth proportional to 6,415.48, 8,853.42 and 3,583.09 is: 4,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.48 : 8,853.42 = 3,583.09 : x
  2. Step 2: Convert to fraction form
    6,415.48/8,853.42 = 3,583.09/x
  3. Step 3: Cross multiply
    6,415.48x = 8,853.42 × 3,583.09
  4. Step 4: Simplify right side
    6,415.48x = 31,722,600.67
  5. Step 5: Solve for x
    x = 31,722,600.67/6,415.48
  6. Step 6: Final answer
    x = 4,944.70

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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.