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Finding the Fourth Proportional to 2,704.78, 3,732.62 and 1,656.84

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Solution

The fourth proportional to 2,704.78, 3,732.62 and 1,656.84 is: 2,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.78 : 3,732.62 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    2,704.78/3,732.62 = 1,656.84/x
  3. Step 3: Cross multiply
    2,704.78x = 3,732.62 × 1,656.84
  4. Step 4: Simplify right side
    2,704.78x = 6,184,359.83
  5. Step 5: Solve for x
    x = 6,184,359.83/2,704.78
  6. Step 6: Final answer
    x = 2,286.45

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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.