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Finding the Fourth Proportional to 21,129.73, 31,699.86 and 6,338.94

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Solution

The fourth proportional to 21,129.73, 31,699.86 and 6,338.94 is: 9,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.73 : 31,699.86 = 6,338.94 : x
  2. Step 2: Convert to fraction form
    21,129.73/31,699.86 = 6,338.94/x
  3. Step 3: Cross multiply
    21,129.73x = 31,699.86 × 6,338.94
  4. Step 4: Simplify right side
    21,129.73x = 200,943,510.55
  5. Step 5: Solve for x
    x = 200,943,510.55/21,129.73
  6. Step 6: Final answer
    x = 9,509.99

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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.