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Finding the Fourth Proportional to 7,112.80, 9,819.80 and 4,726

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Solution

The fourth proportional to 7,112.80, 9,819.80 and 4,726 is: 6,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.80 : 9,819.80 = 4,726 : x
  2. Step 2: Convert to fraction form
    7,112.80/9,819.80 = 4,726/x
  3. Step 3: Cross multiply
    7,112.80x = 9,819.80 × 4,726
  4. Step 4: Simplify right side
    7,112.80x = 46,408,374.80
  5. Step 5: Solve for x
    x = 46,408,374.80/7,112.80
  6. Step 6: Final answer
    x = 6,524.63

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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.