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Finding the Fourth Proportional to 2,884.70, 4,327.14 and 936.92

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Solution

The fourth proportional to 2,884.70, 4,327.14 and 936.92 is: 1,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.70 : 4,327.14 = 936.92 : x
  2. Step 2: Convert to fraction form
    2,884.70/4,327.14 = 936.92/x
  3. Step 3: Cross multiply
    2,884.70x = 4,327.14 × 936.92
  4. Step 4: Simplify right side
    2,884.70x = 4,054,184.01
  5. Step 5: Solve for x
    x = 4,054,184.01/2,884.70
  6. Step 6: Final answer
    x = 1,405.41

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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.