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Finding the Fourth Proportional to 6,138.36, 8,471.12 and 3,485.68

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Solution

The fourth proportional to 6,138.36, 8,471.12 and 3,485.68 is: 4,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.36 : 8,471.12 = 3,485.68 : x
  2. Step 2: Convert to fraction form
    6,138.36/8,471.12 = 3,485.68/x
  3. Step 3: Cross multiply
    6,138.36x = 8,471.12 × 3,485.68
  4. Step 4: Simplify right side
    6,138.36x = 29,527,574.96
  5. Step 5: Solve for x
    x = 29,527,574.96/6,138.36
  6. Step 6: Final answer
    x = 4,810.34

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Half scale
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Double scale
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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.