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Finding the Fourth Proportional to 12,692, 19,044.66 and 5,201.12

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Solution

The fourth proportional to 12,692, 19,044.66 and 5,201.12 is: 7,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692 : 19,044.66 = 5,201.12 : x
  2. Step 2: Convert to fraction form
    12,692/19,044.66 = 5,201.12/x
  3. Step 3: Cross multiply
    12,692x = 19,044.66 × 5,201.12
  4. Step 4: Simplify right side
    12,692x = 99,053,562.02
  5. Step 5: Solve for x
    x = 99,053,562.02/12,692
  6. Step 6: Final answer
    x = 7,804.41

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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.