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Finding the Fourth Proportional to 6,138.36, 8,471.16 and 3,485.70

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Solution

The fourth proportional to 6,138.36, 8,471.16 and 3,485.70 is: 4,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.36 : 8,471.16 = 3,485.70 : x
  2. Step 2: Convert to fraction form
    6,138.36/8,471.16 = 3,485.70/x
  3. Step 3: Cross multiply
    6,138.36x = 8,471.16 × 3,485.70
  4. Step 4: Simplify right side
    6,138.36x = 29,527,922.41
  5. Step 5: Solve for x
    x = 29,527,922.41/6,138.36
  6. Step 6: Final answer
    x = 4,810.39

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Half scale
Find fourth proportional to 12,276.72, 16,942.32 and 6,971.40
Double scale
Find fourth proportional to 6,139.36, 8,472.54 and 3,486.70
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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.