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Finding the Fourth Proportional to 3,811.61, 5,717.42 and 2,503.63

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Solution

The fourth proportional to 3,811.61, 5,717.42 and 2,503.63 is: 3,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.61 : 5,717.42 = 2,503.63 : x
  2. Step 2: Convert to fraction form
    3,811.61/5,717.42 = 2,503.63/x
  3. Step 3: Cross multiply
    3,811.61x = 5,717.42 × 2,503.63
  4. Step 4: Simplify right side
    3,811.61x = 14,314,308.25
  5. Step 5: Solve for x
    x = 14,314,308.25/3,811.61
  6. Step 6: Final answer
    x = 3,755.45

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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.