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Finding the Fourth Proportional to 21,770, 30,042.64 and 12,339.44

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Solution

The fourth proportional to 21,770, 30,042.64 and 12,339.44 is: 17,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770 : 30,042.64 = 12,339.44 : x
  2. Step 2: Convert to fraction form
    21,770/30,042.64 = 12,339.44/x
  3. Step 3: Cross multiply
    21,770x = 30,042.64 × 12,339.44
  4. Step 4: Simplify right side
    21,770x = 370,709,353.72
  5. Step 5: Solve for x
    x = 370,709,353.72/21,770
  6. Step 6: Final answer
    x = 17,028.45

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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.