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Finding the Fourth Proportional to 26,285.50, 39,426 and 9,644.86

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Solution

The fourth proportional to 26,285.50, 39,426 and 9,644.86 is: 14,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,285.50 : 39,426 = 9,644.86 : x
  2. Step 2: Convert to fraction form
    26,285.50/39,426 = 9,644.86/x
  3. Step 3: Cross multiply
    26,285.50x = 39,426 × 9,644.86
  4. Step 4: Simplify right side
    26,285.50x = 380,258,250.36
  5. Step 5: Solve for x
    x = 380,258,250.36/26,285.50
  6. Step 6: Final answer
    x = 14,466.46

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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.