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Finding the Fourth Proportional to 21,327.89, 31,978.13 and 8,856.51

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Solution

The fourth proportional to 21,327.89, 31,978.13 and 8,856.51 is: 13,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,327.89 : 31,978.13 = 8,856.51 : x
  2. Step 2: Convert to fraction form
    21,327.89/31,978.13 = 8,856.51/x
  3. Step 3: Cross multiply
    21,327.89x = 31,978.13 × 8,856.51
  4. Step 4: Simplify right side
    21,327.89x = 283,214,583.84
  5. Step 5: Solve for x
    x = 283,214,583.84/21,327.89
  6. Step 6: Final answer
    x = 13,279.07

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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.