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Finding the Fourth Proportional to 51,471, 70,981.38 and 33,579.72

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Solution

The fourth proportional to 51,471, 70,981.38 and 33,579.72 is: 46,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471 : 70,981.38 = 33,579.72 : x
  2. Step 2: Convert to fraction form
    51,471/70,981.38 = 33,579.72/x
  3. Step 3: Cross multiply
    51,471x = 70,981.38 × 33,579.72
  4. Step 4: Simplify right side
    51,471x = 2,383,534,865.61
  5. Step 5: Solve for x
    x = 2,383,534,865.61/51,471
  6. Step 6: Final answer
    x = 46,308.31

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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.