Home / 51,819.32-77,733.84-20,657

Finding the Fourth Proportional to 51,819.32, 77,733.84 and 20,657

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Solution

The fourth proportional to 51,819.32, 77,733.84 and 20,657 is: 30,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.32 : 77,733.84 = 20,657 : x
  2. Step 2: Convert to fraction form
    51,819.32/77,733.84 = 20,657/x
  3. Step 3: Cross multiply
    51,819.32x = 77,733.84 × 20,657
  4. Step 4: Simplify right side
    51,819.32x = 1,605,747,932.88
  5. Step 5: Solve for x
    x = 1,605,747,932.88/51,819.32
  6. Step 6: Final answer
    x = 30,987.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.