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Finding the Fourth Proportional to 13,231.08, 18,255.78 and 7,641

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Solution

The fourth proportional to 13,231.08, 18,255.78 and 7,641 is: 10,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.08 : 18,255.78 = 7,641 : x
  2. Step 2: Convert to fraction form
    13,231.08/18,255.78 = 7,641/x
  3. Step 3: Cross multiply
    13,231.08x = 18,255.78 × 7,641
  4. Step 4: Simplify right side
    13,231.08x = 139,492,414.98
  5. Step 5: Solve for x
    x = 139,492,414.98/13,231.08
  6. Step 6: Final answer
    x = 10,542.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.