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Finding the Fourth Proportional to 39,838.74, 54,978.45 and 21,932.07

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Solution

The fourth proportional to 39,838.74, 54,978.45 and 21,932.07 is: 30,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,838.74 : 54,978.45 = 21,932.07 : x
  2. Step 2: Convert to fraction form
    39,838.74/54,978.45 = 21,932.07/x
  3. Step 3: Cross multiply
    39,838.74x = 54,978.45 × 21,932.07
  4. Step 4: Simplify right side
    39,838.74x = 1,205,791,213.89
  5. Step 5: Solve for x
    x = 1,205,791,213.89/39,838.74
  6. Step 6: Final answer
    x = 30,266.80

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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.