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Finding the Fourth Proportional to 8,138.70, 12,209.40 and 3,460.95

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Solution

The fourth proportional to 8,138.70, 12,209.40 and 3,460.95 is: 5,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.70 : 12,209.40 = 3,460.95 : x
  2. Step 2: Convert to fraction form
    8,138.70/12,209.40 = 3,460.95/x
  3. Step 3: Cross multiply
    8,138.70x = 12,209.40 × 3,460.95
  4. Step 4: Simplify right side
    8,138.70x = 42,256,122.93
  5. Step 5: Solve for x
    x = 42,256,122.93/8,138.70
  6. Step 6: Final answer
    x = 5,192.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.