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Finding the Fourth Proportional to 12,899, 17,804.42 and 8,423.44

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Solution

The fourth proportional to 12,899, 17,804.42 and 8,423.44 is: 11,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899 : 17,804.42 = 8,423.44 : x
  2. Step 2: Convert to fraction form
    12,899/17,804.42 = 8,423.44/x
  3. Step 3: Cross multiply
    12,899x = 17,804.42 × 8,423.44
  4. Step 4: Simplify right side
    12,899x = 149,974,463.60
  5. Step 5: Solve for x
    x = 149,974,463.60/12,899
  6. Step 6: Final answer
    x = 11,626.83

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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.