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Finding the Fourth Proportional to 12,991.53, 17,927.76 and 7,327.44

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Solution

The fourth proportional to 12,991.53, 17,927.76 and 7,327.44 is: 10,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.53 : 17,927.76 = 7,327.44 : x
  2. Step 2: Convert to fraction form
    12,991.53/17,927.76 = 7,327.44/x
  3. Step 3: Cross multiply
    12,991.53x = 17,927.76 × 7,327.44
  4. Step 4: Simplify right side
    12,991.53x = 131,364,585.73
  5. Step 5: Solve for x
    x = 131,364,585.73/12,991.53
  6. Step 6: Final answer
    x = 10,111.56

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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.