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Finding the Fourth Proportional to 26,828.32, 40,217.84 and 9,285.88

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Solution

The fourth proportional to 26,828.32, 40,217.84 and 9,285.88 is: 13,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828.32 : 40,217.84 = 9,285.88 : x
  2. Step 2: Convert to fraction form
    26,828.32/40,217.84 = 9,285.88/x
  3. Step 3: Cross multiply
    26,828.32x = 40,217.84 × 9,285.88
  4. Step 4: Simplify right side
    26,828.32x = 373,457,912.34
  5. Step 5: Solve for x
    x = 373,457,912.34/26,828.32
  6. Step 6: Final answer
    x = 13,920.29

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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.