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Finding the Fourth Proportional to 21,734, 29,994.12 and 12,303.44

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Solution

The fourth proportional to 21,734, 29,994.12 and 12,303.44 is: 16,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734 : 29,994.12 = 12,303.44 : x
  2. Step 2: Convert to fraction form
    21,734/29,994.12 = 12,303.44/x
  3. Step 3: Cross multiply
    21,734x = 29,994.12 × 12,303.44
  4. Step 4: Simplify right side
    21,734x = 369,030,855.77
  5. Step 5: Solve for x
    x = 369,030,855.77/21,734
  6. Step 6: Final answer
    x = 16,979.43

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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.