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Finding the Fourth Proportional to 3,888.64, 5,834.36 and 1,940.40

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Solution

The fourth proportional to 3,888.64, 5,834.36 and 1,940.40 is: 2,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.64 : 5,834.36 = 1,940.40 : x
  2. Step 2: Convert to fraction form
    3,888.64/5,834.36 = 1,940.40/x
  3. Step 3: Cross multiply
    3,888.64x = 5,834.36 × 1,940.40
  4. Step 4: Simplify right side
    3,888.64x = 11,320,992.14
  5. Step 5: Solve for x
    x = 11,320,992.14/3,888.64
  6. Step 6: Final answer
    x = 2,911.30

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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.