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Finding the Fourth Proportional to 3,143.94, 4,339.98 and 1,964.76

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Solution

The fourth proportional to 3,143.94, 4,339.98 and 1,964.76 is: 2,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.94 : 4,339.98 = 1,964.76 : x
  2. Step 2: Convert to fraction form
    3,143.94/4,339.98 = 1,964.76/x
  3. Step 3: Cross multiply
    3,143.94x = 4,339.98 × 1,964.76
  4. Step 4: Simplify right side
    3,143.94x = 8,527,019.10
  5. Step 5: Solve for x
    x = 8,527,019.10/3,143.94
  6. Step 6: Final answer
    x = 2,712.21

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Double scale
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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.