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Finding the Fourth Proportional to 21,922.88, 32,907.72 and 9,449.06

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Solution

The fourth proportional to 21,922.88, 32,907.72 and 9,449.06 is: 14,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.88 : 32,907.72 = 9,449.06 : x
  2. Step 2: Convert to fraction form
    21,922.88/32,907.72 = 9,449.06/x
  3. Step 3: Cross multiply
    21,922.88x = 32,907.72 × 9,449.06
  4. Step 4: Simplify right side
    21,922.88x = 310,947,020.74
  5. Step 5: Solve for x
    x = 310,947,020.74/21,922.88
  6. Step 6: Final answer
    x = 14,183.68

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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.