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Finding the Fourth Proportional to 13,105.80, 19,640.70 and 8,411.40

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Solution

The fourth proportional to 13,105.80, 19,640.70 and 8,411.40 is: 12,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.80 : 19,640.70 = 8,411.40 : x
  2. Step 2: Convert to fraction form
    13,105.80/19,640.70 = 8,411.40/x
  3. Step 3: Cross multiply
    13,105.80x = 19,640.70 × 8,411.40
  4. Step 4: Simplify right side
    13,105.80x = 165,205,783.98
  5. Step 5: Solve for x
    x = 165,205,783.98/13,105.80
  6. Step 6: Final answer
    x = 12,605.55

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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.