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Finding the Fourth Proportional to 21,979, 30,331.06 and 12,043

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Solution

The fourth proportional to 21,979, 30,331.06 and 12,043 is: 16,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,979 : 30,331.06 = 12,043 : x
  2. Step 2: Convert to fraction form
    21,979/30,331.06 = 12,043/x
  3. Step 3: Cross multiply
    21,979x = 30,331.06 × 12,043
  4. Step 4: Simplify right side
    21,979x = 365,276,955.58
  5. Step 5: Solve for x
    x = 365,276,955.58/21,979
  6. Step 6: Final answer
    x = 16,619.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.