Home / 3,954.56-5,931.72-1,646

Finding the Fourth Proportional to 3,954.56, 5,931.72 and 1,646

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Solution

The fourth proportional to 3,954.56, 5,931.72 and 1,646 is: 2,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.56 : 5,931.72 = 1,646 : x
  2. Step 2: Convert to fraction form
    3,954.56/5,931.72 = 1,646/x
  3. Step 3: Cross multiply
    3,954.56x = 5,931.72 × 1,646
  4. Step 4: Simplify right side
    3,954.56x = 9,763,611.12
  5. Step 5: Solve for x
    x = 9,763,611.12/3,954.56
  6. Step 6: Final answer
    x = 2,468.95

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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.