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Finding the Fourth Proportional to 3,223.66, 4,447.72 and 1,964.74

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Solution

The fourth proportional to 3,223.66, 4,447.72 and 1,964.74 is: 2,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.66 : 4,447.72 = 1,964.74 : x
  2. Step 2: Convert to fraction form
    3,223.66/4,447.72 = 1,964.74/x
  3. Step 3: Cross multiply
    3,223.66x = 4,447.72 × 1,964.74
  4. Step 4: Simplify right side
    3,223.66x = 8,738,603.57
  5. Step 5: Solve for x
    x = 8,738,603.57/3,223.66
  6. Step 6: Final answer
    x = 2,710.77

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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.