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Finding the Fourth Proportional to 12,893.72, 17,790.62 and 8,424.06

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Solution

The fourth proportional to 12,893.72, 17,790.62 and 8,424.06 is: 11,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.72 : 17,790.62 = 8,424.06 : x
  2. Step 2: Convert to fraction form
    12,893.72/17,790.62 = 8,424.06/x
  3. Step 3: Cross multiply
    12,893.72x = 17,790.62 × 8,424.06
  4. Step 4: Simplify right side
    12,893.72x = 149,869,250.32
  5. Step 5: Solve for x
    x = 149,869,250.32/12,893.72
  6. Step 6: Final answer
    x = 11,623.43

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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.