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Finding the Fourth Proportional to 5,298.22, 7,950.37 and 1,968.78

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Solution

The fourth proportional to 5,298.22, 7,950.37 and 1,968.78 is: 2,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.22 : 7,950.37 = 1,968.78 : x
  2. Step 2: Convert to fraction form
    5,298.22/7,950.37 = 1,968.78/x
  3. Step 3: Cross multiply
    5,298.22x = 7,950.37 × 1,968.78
  4. Step 4: Simplify right side
    5,298.22x = 15,652,529.45
  5. Step 5: Solve for x
    x = 15,652,529.45/5,298.22
  6. Step 6: Final answer
    x = 2,954.30

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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.