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Finding the Fourth Proportional to 26,230, 39,341.05 and 8,458.37

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Solution

The fourth proportional to 26,230, 39,341.05 and 8,458.37 is: 12,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,230 : 39,341.05 = 8,458.37 : x
  2. Step 2: Convert to fraction form
    26,230/39,341.05 = 8,458.37/x
  3. Step 3: Cross multiply
    26,230x = 39,341.05 × 8,458.37
  4. Step 4: Simplify right side
    26,230x = 332,761,157.09
  5. Step 5: Solve for x
    x = 332,761,157.09/26,230
  6. Step 6: Final answer
    x = 12,686.28

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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.