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Finding the Fourth Proportional to 2,708.64, 3,735.78 and 1,764.75

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Solution

The fourth proportional to 2,708.64, 3,735.78 and 1,764.75 is: 2,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.64 : 3,735.78 = 1,764.75 : x
  2. Step 2: Convert to fraction form
    2,708.64/3,735.78 = 1,764.75/x
  3. Step 3: Cross multiply
    2,708.64x = 3,735.78 × 1,764.75
  4. Step 4: Simplify right side
    2,708.64x = 6,592,717.76
  5. Step 5: Solve for x
    x = 6,592,717.76/2,708.64
  6. Step 6: Final answer
    x = 2,433.96

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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.