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Finding the Fourth Proportional to 21,854, 30,158.68 and 11,918

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Solution

The fourth proportional to 21,854, 30,158.68 and 11,918 is: 16,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854 : 30,158.68 = 11,918 : x
  2. Step 2: Convert to fraction form
    21,854/30,158.68 = 11,918/x
  3. Step 3: Cross multiply
    21,854x = 30,158.68 × 11,918
  4. Step 4: Simplify right side
    21,854x = 359,431,148.24
  5. Step 5: Solve for x
    x = 359,431,148.24/21,854
  6. Step 6: Final answer
    x = 16,446.93

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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.