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Finding the Fourth Proportional to 6,138.64, 8,465.88 and 4,015.36

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Solution

The fourth proportional to 6,138.64, 8,465.88 and 4,015.36 is: 5,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.64 : 8,465.88 = 4,015.36 : x
  2. Step 2: Convert to fraction form
    6,138.64/8,465.88 = 4,015.36/x
  3. Step 3: Cross multiply
    6,138.64x = 8,465.88 × 4,015.36
  4. Step 4: Simplify right side
    6,138.64x = 33,993,555.92
  5. Step 5: Solve for x
    x = 33,993,555.92/6,138.64
  6. Step 6: Final answer
    x = 5,537.64

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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.