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Finding the Fourth Proportional to 33,312.56, 45,976.02 and 21,409.88

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Solution

The fourth proportional to 33,312.56, 45,976.02 and 21,409.88 is: 29,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,312.56 : 45,976.02 = 21,409.88 : x
  2. Step 2: Convert to fraction form
    33,312.56/45,976.02 = 21,409.88/x
  3. Step 3: Cross multiply
    33,312.56x = 45,976.02 × 21,409.88
  4. Step 4: Simplify right side
    33,312.56x = 984,341,071.08
  5. Step 5: Solve for x
    x = 984,341,071.08/33,312.56
  6. Step 6: Final answer
    x = 29,548.65

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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.