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Finding the Fourth Proportional to 3,846.22, 5,303.54 and 2,781.88

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Solution

The fourth proportional to 3,846.22, 5,303.54 and 2,781.88 is: 3,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.22 : 5,303.54 = 2,781.88 : x
  2. Step 2: Convert to fraction form
    3,846.22/5,303.54 = 2,781.88/x
  3. Step 3: Cross multiply
    3,846.22x = 5,303.54 × 2,781.88
  4. Step 4: Simplify right side
    3,846.22x = 14,753,811.86
  5. Step 5: Solve for x
    x = 14,753,811.86/3,846.22
  6. Step 6: Final answer
    x = 3,835.93

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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.