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Finding the Fourth Proportional to 21,853, 30,157.50 and 11,917

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Solution

The fourth proportional to 21,853, 30,157.50 and 11,917 is: 16,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853 : 30,157.50 = 11,917 : x
  2. Step 2: Convert to fraction form
    21,853/30,157.50 = 11,917/x
  3. Step 3: Cross multiply
    21,853x = 30,157.50 × 11,917
  4. Step 4: Simplify right side
    21,853x = 359,386,927.50
  5. Step 5: Solve for x
    x = 359,386,927.50/21,853
  6. Step 6: Final answer
    x = 16,445.66

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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.