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Finding the Fourth Proportional to 26,921.25, 40,388.40 and 8,453.25

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Solution

The fourth proportional to 26,921.25, 40,388.40 and 8,453.25 is: 12,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,921.25 : 40,388.40 = 8,453.25 : x
  2. Step 2: Convert to fraction form
    26,921.25/40,388.40 = 8,453.25/x
  3. Step 3: Cross multiply
    26,921.25x = 40,388.40 × 8,453.25
  4. Step 4: Simplify right side
    26,921.25x = 341,413,242.30
  5. Step 5: Solve for x
    x = 341,413,242.30/26,921.25
  6. Step 6: Final answer
    x = 12,681.92

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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.