Home / 7,822.64-11,733.54-1,978.92

Finding the Fourth Proportional to 7,822.64, 11,733.54 and 1,978.92

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Solution

The fourth proportional to 7,822.64, 11,733.54 and 1,978.92 is: 2,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.64 : 11,733.54 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    7,822.64/11,733.54 = 1,978.92/x
  3. Step 3: Cross multiply
    7,822.64x = 11,733.54 × 1,978.92
  4. Step 4: Simplify right side
    7,822.64x = 23,219,736.98
  5. Step 5: Solve for x
    x = 23,219,736.98/7,822.64
  6. Step 6: Final answer
    x = 2,968.27

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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.