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Finding the Fourth Proportional to 3,697.64, 5,515.16 and 3,206.78

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Solution

The fourth proportional to 3,697.64, 5,515.16 and 3,206.78 is: 4,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.64 : 5,515.16 = 3,206.78 : x
  2. Step 2: Convert to fraction form
    3,697.64/5,515.16 = 3,206.78/x
  3. Step 3: Cross multiply
    3,697.64x = 5,515.16 × 3,206.78
  4. Step 4: Simplify right side
    3,697.64x = 17,685,904.78
  5. Step 5: Solve for x
    x = 17,685,904.78/3,697.64
  6. Step 6: Final answer
    x = 4,783.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.