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Finding the Fourth Proportional to 4,138.66, 5,715.78 and 4,043.32

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Solution

The fourth proportional to 4,138.66, 5,715.78 and 4,043.32 is: 5,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.66 : 5,715.78 = 4,043.32 : x
  2. Step 2: Convert to fraction form
    4,138.66/5,715.78 = 4,043.32/x
  3. Step 3: Cross multiply
    4,138.66x = 5,715.78 × 4,043.32
  4. Step 4: Simplify right side
    4,138.66x = 23,110,698.14
  5. Step 5: Solve for x
    x = 23,110,698.14/4,138.66
  6. Step 6: Final answer
    x = 5,584.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.