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Finding the Fourth Proportional to 28,683.68, 43,027.68 and 7,907

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Solution

The fourth proportional to 28,683.68, 43,027.68 and 7,907 is: 11,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,683.68 : 43,027.68 = 7,907 : x
  2. Step 2: Convert to fraction form
    28,683.68/43,027.68 = 7,907/x
  3. Step 3: Cross multiply
    28,683.68x = 43,027.68 × 7,907
  4. Step 4: Simplify right side
    28,683.68x = 340,219,865.76
  5. Step 5: Solve for x
    x = 340,219,865.76/28,683.68
  6. Step 6: Final answer
    x = 11,861.10

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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.