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Finding the Fourth Proportional to 3,880.36, 5,814.78 and 1,929.16

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Solution

The fourth proportional to 3,880.36, 5,814.78 and 1,929.16 is: 2,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.36 : 5,814.78 = 1,929.16 : x
  2. Step 2: Convert to fraction form
    3,880.36/5,814.78 = 1,929.16/x
  3. Step 3: Cross multiply
    3,880.36x = 5,814.78 × 1,929.16
  4. Step 4: Simplify right side
    3,880.36x = 11,217,640.98
  5. Step 5: Solve for x
    x = 11,217,640.98/3,880.36
  6. Step 6: Final answer
    x = 2,890.88

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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.