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Finding the Fourth Proportional to 21,201.78, 31,801.89 and 8,557.02

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Solution

The fourth proportional to 21,201.78, 31,801.89 and 8,557.02 is: 12,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.78 : 31,801.89 = 8,557.02 : x
  2. Step 2: Convert to fraction form
    21,201.78/31,801.89 = 8,557.02/x
  3. Step 3: Cross multiply
    21,201.78x = 31,801.89 × 8,557.02
  4. Step 4: Simplify right side
    21,201.78x = 272,129,408.77
  5. Step 5: Solve for x
    x = 272,129,408.77/21,201.78
  6. Step 6: Final answer
    x = 12,835.22

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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.