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Finding the Fourth Proportional to 28,689, 43,028.64 and 7,629.36

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Solution

The fourth proportional to 28,689, 43,028.64 and 7,629.36 is: 11,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,689 : 43,028.64 = 7,629.36 : x
  2. Step 2: Convert to fraction form
    28,689/43,028.64 = 7,629.36/x
  3. Step 3: Cross multiply
    28,689x = 43,028.64 × 7,629.36
  4. Step 4: Simplify right side
    28,689x = 328,280,984.87
  5. Step 5: Solve for x
    x = 328,280,984.87/28,689
  6. Step 6: Final answer
    x = 11,442.75

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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.