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Finding the Fourth Proportional to 26,913, 40,369.86 and 8,445

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Solution

The fourth proportional to 26,913, 40,369.86 and 8,445 is: 12,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,913 : 40,369.86 = 8,445 : x
  2. Step 2: Convert to fraction form
    26,913/40,369.86 = 8,445/x
  3. Step 3: Cross multiply
    26,913x = 40,369.86 × 8,445
  4. Step 4: Simplify right side
    26,913x = 340,923,467.70
  5. Step 5: Solve for x
    x = 340,923,467.70/26,913
  6. Step 6: Final answer
    x = 12,667.61

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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.