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Finding the Fourth Proportional to 27,080.60, 40,629.60 and 13,038.78

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Solution

The fourth proportional to 27,080.60, 40,629.60 and 13,038.78 is: 19,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080.60 : 40,629.60 = 13,038.78 : x
  2. Step 2: Convert to fraction form
    27,080.60/40,629.60 = 13,038.78/x
  3. Step 3: Cross multiply
    27,080.60x = 40,629.60 × 13,038.78
  4. Step 4: Simplify right side
    27,080.60x = 529,760,415.89
  5. Step 5: Solve for x
    x = 529,760,415.89/27,080.60
  6. Step 6: Final answer
    x = 19,562.36

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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.