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Finding the Fourth Proportional to 3,909.96, 5,393.94 and 2,253

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Solution

The fourth proportional to 3,909.96, 5,393.94 and 2,253 is: 3,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.96 : 5,393.94 = 2,253 : x
  2. Step 2: Convert to fraction form
    3,909.96/5,393.94 = 2,253/x
  3. Step 3: Cross multiply
    3,909.96x = 5,393.94 × 2,253
  4. Step 4: Simplify right side
    3,909.96x = 12,152,546.82
  5. Step 5: Solve for x
    x = 12,152,546.82/3,909.96
  6. Step 6: Final answer
    x = 3,108.10

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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.