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Finding the Fourth Proportional to 36,978.63, 51,030.53 and 19,982.88

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Solution

The fourth proportional to 36,978.63, 51,030.53 and 19,982.88 is: 27,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.63 : 51,030.53 = 19,982.88 : x
  2. Step 2: Convert to fraction form
    36,978.63/51,030.53 = 19,982.88/x
  3. Step 3: Cross multiply
    36,978.63x = 51,030.53 × 19,982.88
  4. Step 4: Simplify right side
    36,978.63x = 1,019,737,006.49
  5. Step 5: Solve for x
    x = 1,019,737,006.49/36,978.63
  6. Step 6: Final answer
    x = 27,576.38

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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.