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Finding the Fourth Proportional to 19,898.34, 29,855.34 and 8,208.78

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Solution

The fourth proportional to 19,898.34, 29,855.34 and 8,208.78 is: 12,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.34 : 29,855.34 = 8,208.78 : x
  2. Step 2: Convert to fraction form
    19,898.34/29,855.34 = 8,208.78/x
  3. Step 3: Cross multiply
    19,898.34x = 29,855.34 × 8,208.78
  4. Step 4: Simplify right side
    19,898.34x = 245,075,917.89
  5. Step 5: Solve for x
    x = 245,075,917.89/19,898.34
  6. Step 6: Final answer
    x = 12,316.40

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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.