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Finding the Fourth Proportional to 21,807, 30,093.66 and 11,871

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Solution

The fourth proportional to 21,807, 30,093.66 and 11,871 is: 16,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807 : 30,093.66 = 11,871 : x
  2. Step 2: Convert to fraction form
    21,807/30,093.66 = 11,871/x
  3. Step 3: Cross multiply
    21,807x = 30,093.66 × 11,871
  4. Step 4: Simplify right side
    21,807x = 357,241,837.86
  5. Step 5: Solve for x
    x = 357,241,837.86/21,807
  6. Step 6: Final answer
    x = 16,381.98

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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.