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Finding the Fourth Proportional to 19,214.01, 28,824.84 and 8,120.61

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Solution

The fourth proportional to 19,214.01, 28,824.84 and 8,120.61 is: 12,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.01 : 28,824.84 = 8,120.61 : x
  2. Step 2: Convert to fraction form
    19,214.01/28,824.84 = 8,120.61/x
  3. Step 3: Cross multiply
    19,214.01x = 28,824.84 × 8,120.61
  4. Step 4: Simplify right side
    19,214.01x = 234,075,283.95
  5. Step 5: Solve for x
    x = 234,075,283.95/19,214.01
  6. Step 6: Final answer
    x = 12,182.53

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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.