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Finding the Fourth Proportional to 2,708.64, 3,739.76 and 1,714.80

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Solution

The fourth proportional to 2,708.64, 3,739.76 and 1,714.80 is: 2,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.64 : 3,739.76 = 1,714.80 : x
  2. Step 2: Convert to fraction form
    2,708.64/3,739.76 = 1,714.80/x
  3. Step 3: Cross multiply
    2,708.64x = 3,739.76 × 1,714.80
  4. Step 4: Simplify right side
    2,708.64x = 6,412,940.45
  5. Step 5: Solve for x
    x = 6,412,940.45/2,708.64
  6. Step 6: Final answer
    x = 2,367.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.