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Finding the Fourth Proportional to 21,151, 31,726.50 and 8,839

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Solution

The fourth proportional to 21,151, 31,726.50 and 8,839 is: 13,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151 : 31,726.50 = 8,839 : x
  2. Step 2: Convert to fraction form
    21,151/31,726.50 = 8,839/x
  3. Step 3: Cross multiply
    21,151x = 31,726.50 × 8,839
  4. Step 4: Simplify right side
    21,151x = 280,430,533.50
  5. Step 5: Solve for x
    x = 280,430,533.50/21,151
  6. Step 6: Final answer
    x = 13,258.50

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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.