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Finding the Fourth Proportional to 28,743, 43,114.56 and 7,966.56

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Solution

The fourth proportional to 28,743, 43,114.56 and 7,966.56 is: 11,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,743 : 43,114.56 = 7,966.56 : x
  2. Step 2: Convert to fraction form
    28,743/43,114.56 = 7,966.56/x
  3. Step 3: Cross multiply
    28,743x = 43,114.56 × 7,966.56
  4. Step 4: Simplify right side
    28,743x = 343,474,729.11
  5. Step 5: Solve for x
    x = 343,474,729.11/28,743
  6. Step 6: Final answer
    x = 11,949.86

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1.5x scale

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.