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Finding the Fourth Proportional to 3,589.79, 5,373.16 and 1,919.74

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Solution

The fourth proportional to 3,589.79, 5,373.16 and 1,919.74 is: 2,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.79 : 5,373.16 = 1,919.74 : x
  2. Step 2: Convert to fraction form
    3,589.79/5,373.16 = 1,919.74/x
  3. Step 3: Cross multiply
    3,589.79x = 5,373.16 × 1,919.74
  4. Step 4: Simplify right side
    3,589.79x = 10,315,033.71
  5. Step 5: Solve for x
    x = 10,315,033.71/3,589.79
  6. Step 6: Final answer
    x = 2,873.44

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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.