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Finding the Fourth Proportional to 2,708.12, 4,064 and 1,064.48

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Solution

The fourth proportional to 2,708.12, 4,064 and 1,064.48 is: 1,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.12 : 4,064 = 1,064.48 : x
  2. Step 2: Convert to fraction form
    2,708.12/4,064 = 1,064.48/x
  3. Step 3: Cross multiply
    2,708.12x = 4,064 × 1,064.48
  4. Step 4: Simplify right side
    2,708.12x = 4,326,046.72
  5. Step 5: Solve for x
    x = 4,326,046.72/2,708.12
  6. Step 6: Final answer
    x = 1,597.44

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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.