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Finding the Fourth Proportional to 6,138.68, 8,467.72 and 3,866.40

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Solution

The fourth proportional to 6,138.68, 8,467.72 and 3,866.40 is: 5,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.68 : 8,467.72 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    6,138.68/8,467.72 = 3,866.40/x
  3. Step 3: Cross multiply
    6,138.68x = 8,467.72 × 3,866.40
  4. Step 4: Simplify right side
    6,138.68x = 32,739,592.61
  5. Step 5: Solve for x
    x = 32,739,592.61/6,138.68
  6. Step 6: Final answer
    x = 5,333.33

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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.