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Finding the Fourth Proportional to 21,970, 30,318.58 and 11,898.44

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Solution

The fourth proportional to 21,970, 30,318.58 and 11,898.44 is: 16,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970 : 30,318.58 = 11,898.44 : x
  2. Step 2: Convert to fraction form
    21,970/30,318.58 = 11,898.44/x
  3. Step 3: Cross multiply
    21,970x = 30,318.58 × 11,898.44
  4. Step 4: Simplify right side
    21,970x = 360,743,805.02
  5. Step 5: Solve for x
    x = 360,743,805.02/21,970
  6. Step 6: Final answer
    x = 16,419.84

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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.