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Finding the Fourth Proportional to 21,969.23, 32,947.03 and 7,927.44

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Solution

The fourth proportional to 21,969.23, 32,947.03 and 7,927.44 is: 11,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.23 : 32,947.03 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    21,969.23/32,947.03 = 7,927.44/x
  3. Step 3: Cross multiply
    21,969.23x = 32,947.03 × 7,927.44
  4. Step 4: Simplify right side
    21,969.23x = 261,185,583.68
  5. Step 5: Solve for x
    x = 261,185,583.68/21,969.23
  6. Step 6: Final answer
    x = 11,888.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.