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Finding the Fourth Proportional to 21,780, 30,056.40 and 11,844

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Solution

The fourth proportional to 21,780, 30,056.40 and 11,844 is: 16,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 30,056.40 = 11,844 : x
  2. Step 2: Convert to fraction form
    21,780/30,056.40 = 11,844/x
  3. Step 3: Cross multiply
    21,780x = 30,056.40 × 11,844
  4. Step 4: Simplify right side
    21,780x = 355,988,001.60
  5. Step 5: Solve for x
    x = 355,988,001.60/21,780
  6. Step 6: Final answer
    x = 16,344.72

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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.