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Finding the Fourth Proportional to 21,766.80, 32,662.49 and 9,285.63

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Solution

The fourth proportional to 21,766.80, 32,662.49 and 9,285.63 is: 13,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.80 : 32,662.49 = 9,285.63 : x
  2. Step 2: Convert to fraction form
    21,766.80/32,662.49 = 9,285.63/x
  3. Step 3: Cross multiply
    21,766.80x = 32,662.49 × 9,285.63
  4. Step 4: Simplify right side
    21,766.80x = 303,291,797.02
  5. Step 5: Solve for x
    x = 303,291,797.02/21,766.80
  6. Step 6: Final answer
    x = 13,933.69

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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.