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Finding the Fourth Proportional to 3,909.74, 5,863.99 and 1,277.22

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Solution

The fourth proportional to 3,909.74, 5,863.99 and 1,277.22 is: 1,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.74 : 5,863.99 = 1,277.22 : x
  2. Step 2: Convert to fraction form
    3,909.74/5,863.99 = 1,277.22/x
  3. Step 3: Cross multiply
    3,909.74x = 5,863.99 × 1,277.22
  4. Step 4: Simplify right side
    3,909.74x = 7,489,598.92
  5. Step 5: Solve for x
    x = 7,489,598.92/3,909.74
  6. Step 6: Final answer
    x = 1,915.63

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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.