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Finding the Fourth Proportional to 28,811, 43,223.80 and 8,034.50

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Solution

The fourth proportional to 28,811, 43,223.80 and 8,034.50 is: 12,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,811 : 43,223.80 = 8,034.50 : x
  2. Step 2: Convert to fraction form
    28,811/43,223.80 = 8,034.50/x
  3. Step 3: Cross multiply
    28,811x = 43,223.80 × 8,034.50
  4. Step 4: Simplify right side
    28,811x = 347,281,621.10
  5. Step 5: Solve for x
    x = 347,281,621.10/28,811
  6. Step 6: Final answer
    x = 12,053.79

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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.