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Finding the Fourth Proportional to 3,589.34, 5,386.44 and 1,946.42

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Solution

The fourth proportional to 3,589.34, 5,386.44 and 1,946.42 is: 2,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.34 : 5,386.44 = 1,946.42 : x
  2. Step 2: Convert to fraction form
    3,589.34/5,386.44 = 1,946.42/x
  3. Step 3: Cross multiply
    3,589.34x = 5,386.44 × 1,946.42
  4. Step 4: Simplify right side
    3,589.34x = 10,484,274.54
  5. Step 5: Solve for x
    x = 10,484,274.54/3,589.34
  6. Step 6: Final answer
    x = 2,920.95

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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.