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Finding the Fourth Proportional to 19,871.25, 29,820.55 and 8,184.47

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Solution

The fourth proportional to 19,871.25, 29,820.55 and 8,184.47 is: 12,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.25 : 29,820.55 = 8,184.47 : x
  2. Step 2: Convert to fraction form
    19,871.25/29,820.55 = 8,184.47/x
  3. Step 3: Cross multiply
    19,871.25x = 29,820.55 × 8,184.47
  4. Step 4: Simplify right side
    19,871.25x = 244,065,450.95
  5. Step 5: Solve for x
    x = 244,065,450.95/19,871.25
  6. Step 6: Final answer
    x = 12,282.34

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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.