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Finding the Fourth Proportional to 21,734, 29,994.42 and 12,302.60

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Solution

The fourth proportional to 21,734, 29,994.42 and 12,302.60 is: 16,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734 : 29,994.42 = 12,302.60 : x
  2. Step 2: Convert to fraction form
    21,734/29,994.42 = 12,302.60/x
  3. Step 3: Cross multiply
    21,734x = 29,994.42 × 12,302.60
  4. Step 4: Simplify right side
    21,734x = 369,009,351.49
  5. Step 5: Solve for x
    x = 369,009,351.49/21,734
  6. Step 6: Final answer
    x = 16,978.44

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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.