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Finding the Fourth Proportional to 14,395.20, 19,865.01 and 8,021.82

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Solution

The fourth proportional to 14,395.20, 19,865.01 and 8,021.82 is: 11,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,395.20 : 19,865.01 = 8,021.82 : x
  2. Step 2: Convert to fraction form
    14,395.20/19,865.01 = 8,021.82/x
  3. Step 3: Cross multiply
    14,395.20x = 19,865.01 × 8,021.82
  4. Step 4: Simplify right side
    14,395.20x = 159,353,534.52
  5. Step 5: Solve for x
    x = 159,353,534.52/14,395.20
  6. Step 6: Final answer
    x = 11,069.91

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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.