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Finding the Fourth Proportional to 28,966, 43,449 and 7,078

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Solution

The fourth proportional to 28,966, 43,449 and 7,078 is: 10,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,966 : 43,449 = 7,078 : x
  2. Step 2: Convert to fraction form
    28,966/43,449 = 7,078/x
  3. Step 3: Cross multiply
    28,966x = 43,449 × 7,078
  4. Step 4: Simplify right side
    28,966x = 307,532,022
  5. Step 5: Solve for x
    x = 307,532,022/28,966
  6. Step 6: Final answer
    x = 10,617

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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.