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Finding the Fourth Proportional to 21,782.50, 30,069.81 and 16,744.95

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Solution

The fourth proportional to 21,782.50, 30,069.81 and 16,744.95 is: 23,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.50 : 30,069.81 = 16,744.95 : x
  2. Step 2: Convert to fraction form
    21,782.50/30,069.81 = 16,744.95/x
  3. Step 3: Cross multiply
    21,782.50x = 30,069.81 × 16,744.95
  4. Step 4: Simplify right side
    21,782.50x = 503,517,464.96
  5. Step 5: Solve for x
    x = 503,517,464.96/21,782.50
  6. Step 6: Final answer
    x = 23,115.69

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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.