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Finding the Fourth Proportional to 21,232.71, 31,852.91 and 8,745.93

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Solution

The fourth proportional to 21,232.71, 31,852.91 and 8,745.93 is: 13,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.71 : 31,852.91 = 8,745.93 : x
  2. Step 2: Convert to fraction form
    21,232.71/31,852.91 = 8,745.93/x
  3. Step 3: Cross multiply
    21,232.71x = 31,852.91 × 8,745.93
  4. Step 4: Simplify right side
    21,232.71x = 278,583,277.43
  5. Step 5: Solve for x
    x = 278,583,277.43/21,232.71
  6. Step 6: Final answer
    x = 13,120.48

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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.