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Finding the Fourth Proportional to 21,969, 30,317.98 and 12,033

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Solution

The fourth proportional to 21,969, 30,317.98 and 12,033 is: 16,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 30,317.98 = 12,033 : x
  2. Step 2: Convert to fraction form
    21,969/30,317.98 = 12,033/x
  3. Step 3: Cross multiply
    21,969x = 30,317.98 × 12,033
  4. Step 4: Simplify right side
    21,969x = 364,816,253.34
  5. Step 5: Solve for x
    x = 364,816,253.34/21,969
  6. Step 6: Final answer
    x = 16,605.96

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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.