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Finding the Fourth Proportional to 3,890.64, 5,801.68 and 3,855.54

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Solution

The fourth proportional to 3,890.64, 5,801.68 and 3,855.54 is: 5,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.64 : 5,801.68 = 3,855.54 : x
  2. Step 2: Convert to fraction form
    3,890.64/5,801.68 = 3,855.54/x
  3. Step 3: Cross multiply
    3,890.64x = 5,801.68 × 3,855.54
  4. Step 4: Simplify right side
    3,890.64x = 22,368,609.31
  5. Step 5: Solve for x
    x = 22,368,609.31/3,890.64
  6. Step 6: Final answer
    x = 5,749.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.