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Finding the Fourth Proportional to 2,684.72, 3,708.48 and 2,102.56

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Solution

The fourth proportional to 2,684.72, 3,708.48 and 2,102.56 is: 2,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.72 : 3,708.48 = 2,102.56 : x
  2. Step 2: Convert to fraction form
    2,684.72/3,708.48 = 2,102.56/x
  3. Step 3: Cross multiply
    2,684.72x = 3,708.48 × 2,102.56
  4. Step 4: Simplify right side
    2,684.72x = 7,797,301.71
  5. Step 5: Solve for x
    x = 7,797,301.71/2,684.72
  6. Step 6: Final answer
    x = 2,904.33

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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.