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Finding the Fourth Proportional to 19,211, 28,821.36 and 5,360

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Solution

The fourth proportional to 19,211, 28,821.36 and 5,360 is: 8,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,211 : 28,821.36 = 5,360 : x
  2. Step 2: Convert to fraction form
    19,211/28,821.36 = 5,360/x
  3. Step 3: Cross multiply
    19,211x = 28,821.36 × 5,360
  4. Step 4: Simplify right side
    19,211x = 154,482,489.60
  5. Step 5: Solve for x
    x = 154,482,489.60/19,211
  6. Step 6: Final answer
    x = 8,041.36

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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.