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Finding the Fourth Proportional to 28,801, 43,201.50 and 6,913

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Solution

The fourth proportional to 28,801, 43,201.50 and 6,913 is: 10,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,801 : 43,201.50 = 6,913 : x
  2. Step 2: Convert to fraction form
    28,801/43,201.50 = 6,913/x
  3. Step 3: Cross multiply
    28,801x = 43,201.50 × 6,913
  4. Step 4: Simplify right side
    28,801x = 298,651,969.50
  5. Step 5: Solve for x
    x = 298,651,969.50/28,801
  6. Step 6: Final answer
    x = 10,369.50

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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.