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Finding the Fourth Proportional to 19,809.98, 29,719.92 and 13,977.98

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Solution

The fourth proportional to 19,809.98, 29,719.92 and 13,977.98 is: 20,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.98 : 29,719.92 = 13,977.98 : x
  2. Step 2: Convert to fraction form
    19,809.98/29,719.92 = 13,977.98/x
  3. Step 3: Cross multiply
    19,809.98x = 29,719.92 × 13,977.98
  4. Step 4: Simplify right side
    19,809.98x = 415,424,447.36
  5. Step 5: Solve for x
    x = 415,424,447.36/19,809.98
  6. Step 6: Final answer
    x = 20,970.46

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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.