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Finding the Fourth Proportional to 23,930, 33,023.40 and 13,994

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Solution

The fourth proportional to 23,930, 33,023.40 and 13,994 is: 19,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 33,023.40 = 13,994 : x
  2. Step 2: Convert to fraction form
    23,930/33,023.40 = 13,994/x
  3. Step 3: Cross multiply
    23,930x = 33,023.40 × 13,994
  4. Step 4: Simplify right side
    23,930x = 462,129,459.60
  5. Step 5: Solve for x
    x = 462,129,459.60/23,930
  6. Step 6: Final answer
    x = 19,311.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.