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Finding the Fourth Proportional to 3,911.78, 5,867.76 and 1,314.74

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Solution

The fourth proportional to 3,911.78, 5,867.76 and 1,314.74 is: 1,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.78 : 5,867.76 = 1,314.74 : x
  2. Step 2: Convert to fraction form
    3,911.78/5,867.76 = 1,314.74/x
  3. Step 3: Cross multiply
    3,911.78x = 5,867.76 × 1,314.74
  4. Step 4: Simplify right side
    3,911.78x = 7,714,578.78
  5. Step 5: Solve for x
    x = 7,714,578.78/3,911.78
  6. Step 6: Final answer
    x = 1,972.14

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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.