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Finding the Fourth Proportional to 2,716.47, 4,074.71 and 1,255.64

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Solution

The fourth proportional to 2,716.47, 4,074.71 and 1,255.64 is: 1,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.47 : 4,074.71 = 1,255.64 : x
  2. Step 2: Convert to fraction form
    2,716.47/4,074.71 = 1,255.64/x
  3. Step 3: Cross multiply
    2,716.47x = 4,074.71 × 1,255.64
  4. Step 4: Simplify right side
    2,716.47x = 5,116,342.21
  5. Step 5: Solve for x
    x = 5,116,342.21/2,716.47
  6. Step 6: Final answer
    x = 1,883.45

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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.