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Finding the Fourth Proportional to 27,675, 41,512.08 and 12,875.64

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Solution

The fourth proportional to 27,675, 41,512.08 and 12,875.64 is: 19,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675 : 41,512.08 = 12,875.64 : x
  2. Step 2: Convert to fraction form
    27,675/41,512.08 = 12,875.64/x
  3. Step 3: Cross multiply
    27,675x = 41,512.08 × 12,875.64
  4. Step 4: Simplify right side
    27,675x = 534,494,597.73
  5. Step 5: Solve for x
    x = 534,494,597.73/27,675
  6. Step 6: Final answer
    x = 19,313.26

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1.5x scale

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.