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Finding the Fourth Proportional to 39,831, 54,970.44 and 21,929.64

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Solution

The fourth proportional to 39,831, 54,970.44 and 21,929.64 is: 30,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,831 : 54,970.44 = 21,929.64 : x
  2. Step 2: Convert to fraction form
    39,831/54,970.44 = 21,929.64/x
  3. Step 3: Cross multiply
    39,831x = 54,970.44 × 21,929.64
  4. Step 4: Simplify right side
    39,831x = 1,205,481,959.84
  5. Step 5: Solve for x
    x = 1,205,481,959.84/39,831
  6. Step 6: Final answer
    x = 30,264.92

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1.5x scale

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.