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Finding the Fourth Proportional to 11,980.32, 17,970.96 and 5,822.88

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Solution

The fourth proportional to 11,980.32, 17,970.96 and 5,822.88 is: 8,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.32 : 17,970.96 = 5,822.88 : x
  2. Step 2: Convert to fraction form
    11,980.32/17,970.96 = 5,822.88/x
  3. Step 3: Cross multiply
    11,980.32x = 17,970.96 × 5,822.88
  4. Step 4: Simplify right side
    11,980.32x = 104,642,743.56
  5. Step 5: Solve for x
    x = 104,642,743.56/11,980.32
  6. Step 6: Final answer
    x = 8,734.55

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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.