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Finding the Fourth Proportional to 12,991.41, 17,927.08 and 7,327.55

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Solution

The fourth proportional to 12,991.41, 17,927.08 and 7,327.55 is: 10,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.41 : 17,927.08 = 7,327.55 : x
  2. Step 2: Convert to fraction form
    12,991.41/17,927.08 = 7,327.55/x
  3. Step 3: Cross multiply
    12,991.41x = 17,927.08 × 7,327.55
  4. Step 4: Simplify right side
    12,991.41x = 131,361,601.55
  5. Step 5: Solve for x
    x = 131,361,601.55/12,991.41
  6. Step 6: Final answer
    x = 10,111.42

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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.