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Finding the Fourth Proportional to 3,867.75, 5,802.71 and 1,270.76

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Solution

The fourth proportional to 3,867.75, 5,802.71 and 1,270.76 is: 1,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.75 : 5,802.71 = 1,270.76 : x
  2. Step 2: Convert to fraction form
    3,867.75/5,802.71 = 1,270.76/x
  3. Step 3: Cross multiply
    3,867.75x = 5,802.71 × 1,270.76
  4. Step 4: Simplify right side
    3,867.75x = 7,373,816.39
  5. Step 5: Solve for x
    x = 7,373,816.39/3,867.75
  6. Step 6: Final answer
    x = 1,906.49

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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.