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Finding the Fourth Proportional to 26,804, 40,206 and 9,269.12

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Solution

The fourth proportional to 26,804, 40,206 and 9,269.12 is: 13,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804 : 40,206 = 9,269.12 : x
  2. Step 2: Convert to fraction form
    26,804/40,206 = 9,269.12/x
  3. Step 3: Cross multiply
    26,804x = 40,206 × 9,269.12
  4. Step 4: Simplify right side
    26,804x = 372,674,238.72
  5. Step 5: Solve for x
    x = 372,674,238.72/26,804
  6. Step 6: Final answer
    x = 13,903.68

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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.