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Finding the Fourth Proportional to 26,978.30, 40,467.45 and 25,336.70

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Solution

The fourth proportional to 26,978.30, 40,467.45 and 25,336.70 is: 38,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.30 : 40,467.45 = 25,336.70 : x
  2. Step 2: Convert to fraction form
    26,978.30/40,467.45 = 25,336.70/x
  3. Step 3: Cross multiply
    26,978.30x = 40,467.45 × 25,336.70
  4. Step 4: Simplify right side
    26,978.30x = 1,025,311,640.42
  5. Step 5: Solve for x
    x = 1,025,311,640.42/26,978.30
  6. Step 6: Final answer
    x = 38,005.05

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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.