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Finding the Fourth Proportional to 21,924, 30,255.12 and 11,988

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Solution

The fourth proportional to 21,924, 30,255.12 and 11,988 is: 16,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 30,255.12 = 11,988 : x
  2. Step 2: Convert to fraction form
    21,924/30,255.12 = 11,988/x
  3. Step 3: Cross multiply
    21,924x = 30,255.12 × 11,988
  4. Step 4: Simplify right side
    21,924x = 362,698,378.56
  5. Step 5: Solve for x
    x = 362,698,378.56/21,924
  6. Step 6: Final answer
    x = 16,543.44

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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.