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Finding the Fourth Proportional to 26,722, 40,083.54 and 8,254

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Solution

The fourth proportional to 26,722, 40,083.54 and 8,254 is: 12,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,722 : 40,083.54 = 8,254 : x
  2. Step 2: Convert to fraction form
    26,722/40,083.54 = 8,254/x
  3. Step 3: Cross multiply
    26,722x = 40,083.54 × 8,254
  4. Step 4: Simplify right side
    26,722x = 330,849,539.16
  5. Step 5: Solve for x
    x = 330,849,539.16/26,722
  6. Step 6: Final answer
    x = 12,381.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.