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Finding the Fourth Proportional to 2,944.45, 4,416.92 and 864.37

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Solution

The fourth proportional to 2,944.45, 4,416.92 and 864.37 is: 1,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.45 : 4,416.92 = 864.37 : x
  2. Step 2: Convert to fraction form
    2,944.45/4,416.92 = 864.37/x
  3. Step 3: Cross multiply
    2,944.45x = 4,416.92 × 864.37
  4. Step 4: Simplify right side
    2,944.45x = 3,817,853.14
  5. Step 5: Solve for x
    x = 3,817,853.14/2,944.45
  6. Step 6: Final answer
    x = 1,296.63

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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.