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Finding the Fourth Proportional to 21,988, 30,343.80 and 12,052

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Solution

The fourth proportional to 21,988, 30,343.80 and 12,052 is: 16,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988 : 30,343.80 = 12,052 : x
  2. Step 2: Convert to fraction form
    21,988/30,343.80 = 12,052/x
  3. Step 3: Cross multiply
    21,988x = 30,343.80 × 12,052
  4. Step 4: Simplify right side
    21,988x = 365,703,477.60
  5. Step 5: Solve for x
    x = 365,703,477.60/21,988
  6. Step 6: Final answer
    x = 16,631.96

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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.