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Finding the Fourth Proportional to 3,697.68, 5,102.64 and 2,019.05

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Solution

The fourth proportional to 3,697.68, 5,102.64 and 2,019.05 is: 2,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.68 : 5,102.64 = 2,019.05 : x
  2. Step 2: Convert to fraction form
    3,697.68/5,102.64 = 2,019.05/x
  3. Step 3: Cross multiply
    3,697.68x = 5,102.64 × 2,019.05
  4. Step 4: Simplify right side
    3,697.68x = 10,302,485.29
  5. Step 5: Solve for x
    x = 10,302,485.29/3,697.68
  6. Step 6: Final answer
    x = 2,786.20

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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.