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Finding the Fourth Proportional to 21,946, 30,286.24 and 12,010

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Solution

The fourth proportional to 21,946, 30,286.24 and 12,010 is: 16,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946 : 30,286.24 = 12,010 : x
  2. Step 2: Convert to fraction form
    21,946/30,286.24 = 12,010/x
  3. Step 3: Cross multiply
    21,946x = 30,286.24 × 12,010
  4. Step 4: Simplify right side
    21,946x = 363,737,742.40
  5. Step 5: Solve for x
    x = 363,737,742.40/21,946
  6. Step 6: Final answer
    x = 16,574.22

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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.