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Finding the Fourth Proportional to 19,998.60, 29,978 and 9,449.94

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Solution

The fourth proportional to 19,998.60, 29,978 and 9,449.94 is: 14,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998.60 : 29,978 = 9,449.94 : x
  2. Step 2: Convert to fraction form
    19,998.60/29,978 = 9,449.94/x
  3. Step 3: Cross multiply
    19,998.60x = 29,978 × 9,449.94
  4. Step 4: Simplify right side
    19,998.60x = 283,290,301.32
  5. Step 5: Solve for x
    x = 283,290,301.32/19,998.60
  6. Step 6: Final answer
    x = 14,165.51

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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.