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Finding the Fourth Proportional to 21,597.44, 29,804 and 12,165.84

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Solution

The fourth proportional to 21,597.44, 29,804 and 12,165.84 is: 16,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.44 : 29,804 = 12,165.84 : x
  2. Step 2: Convert to fraction form
    21,597.44/29,804 = 12,165.84/x
  3. Step 3: Cross multiply
    21,597.44x = 29,804 × 12,165.84
  4. Step 4: Simplify right side
    21,597.44x = 362,590,695.36
  5. Step 5: Solve for x
    x = 362,590,695.36/21,597.44
  6. Step 6: Final answer
    x = 16,788.60

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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.