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Finding the Fourth Proportional to 19,810.98, 29,721.42 and 13,978.98

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Solution

The fourth proportional to 19,810.98, 29,721.42 and 13,978.98 is: 20,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.98 : 29,721.42 = 13,978.98 : x
  2. Step 2: Convert to fraction form
    19,810.98/29,721.42 = 13,978.98/x
  3. Step 3: Cross multiply
    19,810.98x = 29,721.42 × 13,978.98
  4. Step 4: Simplify right side
    19,810.98x = 415,475,135.75
  5. Step 5: Solve for x
    x = 415,475,135.75/19,810.98
  6. Step 6: Final answer
    x = 20,971.96

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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.