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Finding the Fourth Proportional to 12,991.72, 17,930.10 and 12,583.48

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Solution

The fourth proportional to 12,991.72, 17,930.10 and 12,583.48 is: 17,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.72 : 17,930.10 = 12,583.48 : x
  2. Step 2: Convert to fraction form
    12,991.72/17,930.10 = 12,583.48/x
  3. Step 3: Cross multiply
    12,991.72x = 17,930.10 × 12,583.48
  4. Step 4: Simplify right side
    12,991.72x = 225,623,054.75
  5. Step 5: Solve for x
    x = 225,623,054.75/12,991.72
  6. Step 6: Final answer
    x = 17,366.68

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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.