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Finding the Fourth Proportional to 26,978.27, 40,472.02 and 8,257.84

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Solution

The fourth proportional to 26,978.27, 40,472.02 and 8,257.84 is: 12,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.27 : 40,472.02 = 8,257.84 : x
  2. Step 2: Convert to fraction form
    26,978.27/40,472.02 = 8,257.84/x
  3. Step 3: Cross multiply
    26,978.27x = 40,472.02 × 8,257.84
  4. Step 4: Simplify right side
    26,978.27x = 334,211,465.64
  5. Step 5: Solve for x
    x = 334,211,465.64/26,978.27
  6. Step 6: Final answer
    x = 12,388.17

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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.