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Finding the Fourth Proportional to 21,794.50, 30,019.11 and 16,749.06

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Solution

The fourth proportional to 21,794.50, 30,019.11 and 16,749.06 is: 23,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.50 : 30,019.11 = 16,749.06 : x
  2. Step 2: Convert to fraction form
    21,794.50/30,019.11 = 16,749.06/x
  3. Step 3: Cross multiply
    21,794.50x = 30,019.11 × 16,749.06
  4. Step 4: Simplify right side
    21,794.50x = 502,791,724.44
  5. Step 5: Solve for x
    x = 502,791,724.44/21,794.50
  6. Step 6: Final answer
    x = 23,069.67

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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.