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Finding the Fourth Proportional to 21,968, 30,316.60 and 12,032

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Solution

The fourth proportional to 21,968, 30,316.60 and 12,032 is: 16,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968 : 30,316.60 = 12,032 : x
  2. Step 2: Convert to fraction form
    21,968/30,316.60 = 12,032/x
  3. Step 3: Cross multiply
    21,968x = 30,316.60 × 12,032
  4. Step 4: Simplify right side
    21,968x = 364,769,331.20
  5. Step 5: Solve for x
    x = 364,769,331.20/21,968
  6. Step 6: Final answer
    x = 16,604.58

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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.