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Finding the Fourth Proportional to 2,865.77, 4,299.73 and 1,478.22

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Solution

The fourth proportional to 2,865.77, 4,299.73 and 1,478.22 is: 2,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.77 : 4,299.73 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    2,865.77/4,299.73 = 1,478.22/x
  3. Step 3: Cross multiply
    2,865.77x = 4,299.73 × 1,478.22
  4. Step 4: Simplify right side
    2,865.77x = 6,355,944.45
  5. Step 5: Solve for x
    x = 6,355,944.45/2,865.77
  6. Step 6: Final answer
    x = 2,217.89

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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.