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Finding the Fourth Proportional to 36,978.12, 51,038.85 and 21,071.94

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Solution

The fourth proportional to 36,978.12, 51,038.85 and 21,071.94 is: 29,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.12 : 51,038.85 = 21,071.94 : x
  2. Step 2: Convert to fraction form
    36,978.12/51,038.85 = 21,071.94/x
  3. Step 3: Cross multiply
    36,978.12x = 51,038.85 × 21,071.94
  4. Step 4: Simplify right side
    36,978.12x = 1,075,487,584.87
  5. Step 5: Solve for x
    x = 1,075,487,584.87/36,978.12
  6. Step 6: Final answer
    x = 29,084.43

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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.