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Finding the Fourth Proportional to 2,684.96, 3,704.16 and 1,565.76

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Solution

The fourth proportional to 2,684.96, 3,704.16 and 1,565.76 is: 2,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.96 : 3,704.16 = 1,565.76 : x
  2. Step 2: Convert to fraction form
    2,684.96/3,704.16 = 1,565.76/x
  3. Step 3: Cross multiply
    2,684.96x = 3,704.16 × 1,565.76
  4. Step 4: Simplify right side
    2,684.96x = 5,799,825.56
  5. Step 5: Solve for x
    x = 5,799,825.56/2,684.96
  6. Step 6: Final answer
    x = 2,160.12

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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.