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Finding the Fourth Proportional to 28,728, 43,106.58 and 13,149.54

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Solution

The fourth proportional to 28,728, 43,106.58 and 13,149.54 is: 19,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,728 : 43,106.58 = 13,149.54 : x
  2. Step 2: Convert to fraction form
    28,728/43,106.58 = 13,149.54/x
  3. Step 3: Cross multiply
    28,728x = 43,106.58 × 13,149.54
  4. Step 4: Simplify right side
    28,728x = 566,831,697.97
  5. Step 5: Solve for x
    x = 566,831,697.97/28,728
  6. Step 6: Final answer
    x = 19,730.98

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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.