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Finding the Fourth Proportional to 15,635, 23,458.26 and 8,239.16

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Solution

The fourth proportional to 15,635, 23,458.26 and 8,239.16 is: 12,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635 : 23,458.26 = 8,239.16 : x
  2. Step 2: Convert to fraction form
    15,635/23,458.26 = 8,239.16/x
  3. Step 3: Cross multiply
    15,635x = 23,458.26 × 8,239.16
  4. Step 4: Simplify right side
    15,635x = 193,276,357.46
  5. Step 5: Solve for x
    x = 193,276,357.46/15,635
  6. Step 6: Final answer
    x = 12,361.78

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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.