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Finding the Fourth Proportional to 2,944.46, 4,415.79 and 864.62

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Solution

The fourth proportional to 2,944.46, 4,415.79 and 864.62 is: 1,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.46 : 4,415.79 = 864.62 : x
  2. Step 2: Convert to fraction form
    2,944.46/4,415.79 = 864.62/x
  3. Step 3: Cross multiply
    2,944.46x = 4,415.79 × 864.62
  4. Step 4: Simplify right side
    2,944.46x = 3,817,980.35
  5. Step 5: Solve for x
    x = 3,817,980.35/2,944.46
  6. Step 6: Final answer
    x = 1,296.67

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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.