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Finding the Fourth Proportional to 3,674.39, 5,509.76 and 1,919.12

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Solution

The fourth proportional to 3,674.39, 5,509.76 and 1,919.12 is: 2,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.39 : 5,509.76 = 1,919.12 : x
  2. Step 2: Convert to fraction form
    3,674.39/5,509.76 = 1,919.12/x
  3. Step 3: Cross multiply
    3,674.39x = 5,509.76 × 1,919.12
  4. Step 4: Simplify right side
    3,674.39x = 10,573,853.47
  5. Step 5: Solve for x
    x = 10,573,853.47/3,674.39
  6. Step 6: Final answer
    x = 2,877.72

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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.