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Finding the Fourth Proportional to 19,858.10, 29,775 and 8,017.32

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Solution

The fourth proportional to 19,858.10, 29,775 and 8,017.32 is: 12,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.10 : 29,775 = 8,017.32 : x
  2. Step 2: Convert to fraction form
    19,858.10/29,775 = 8,017.32/x
  3. Step 3: Cross multiply
    19,858.10x = 29,775 × 8,017.32
  4. Step 4: Simplify right side
    19,858.10x = 238,715,703
  5. Step 5: Solve for x
    x = 238,715,703/19,858.10
  6. Step 6: Final answer
    x = 12,021.07

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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.