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Finding the Fourth Proportional to 26,952, 40,429.44 and 8,485.44

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Solution

The fourth proportional to 26,952, 40,429.44 and 8,485.44 is: 12,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952 : 40,429.44 = 8,485.44 : x
  2. Step 2: Convert to fraction form
    26,952/40,429.44 = 8,485.44/x
  3. Step 3: Cross multiply
    26,952x = 40,429.44 × 8,485.44
  4. Step 4: Simplify right side
    26,952x = 343,061,587.35
  5. Step 5: Solve for x
    x = 343,061,587.35/26,952
  6. Step 6: Final answer
    x = 12,728.61

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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.