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Finding the Fourth Proportional to 3,604.64, 4,975.20 and 2,343.50

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Solution

The fourth proportional to 3,604.64, 4,975.20 and 2,343.50 is: 3,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.64 : 4,975.20 = 2,343.50 : x
  2. Step 2: Convert to fraction form
    3,604.64/4,975.20 = 2,343.50/x
  3. Step 3: Cross multiply
    3,604.64x = 4,975.20 × 2,343.50
  4. Step 4: Simplify right side
    3,604.64x = 11,659,381.20
  5. Step 5: Solve for x
    x = 11,659,381.20/3,604.64
  6. Step 6: Final answer
    x = 3,234.55

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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.