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Finding the Fourth Proportional to 21,458.44, 32,187.68 and 12,205

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Solution

The fourth proportional to 21,458.44, 32,187.68 and 12,205 is: 18,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.44 : 32,187.68 = 12,205 : x
  2. Step 2: Convert to fraction form
    21,458.44/32,187.68 = 12,205/x
  3. Step 3: Cross multiply
    21,458.44x = 32,187.68 × 12,205
  4. Step 4: Simplify right side
    21,458.44x = 392,850,634.40
  5. Step 5: Solve for x
    x = 392,850,634.40/21,458.44
  6. Step 6: Final answer
    x = 18,307.51

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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.