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Finding the Fourth Proportional to 3,704.60, 5,548.80 and 1,971.20

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Solution

The fourth proportional to 3,704.60, 5,548.80 and 1,971.20 is: 2,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.60 : 5,548.80 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    3,704.60/5,548.80 = 1,971.20/x
  3. Step 3: Cross multiply
    3,704.60x = 5,548.80 × 1,971.20
  4. Step 4: Simplify right side
    3,704.60x = 10,937,794.56
  5. Step 5: Solve for x
    x = 10,937,794.56/3,704.60
  6. Step 6: Final answer
    x = 2,952.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.