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Finding the Fourth Proportional to 13,675.92, 18,873.16 and 13,180.20

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Solution

The fourth proportional to 13,675.92, 18,873.16 and 13,180.20 is: 18,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.92 : 18,873.16 = 13,180.20 : x
  2. Step 2: Convert to fraction form
    13,675.92/18,873.16 = 13,180.20/x
  3. Step 3: Cross multiply
    13,675.92x = 18,873.16 × 13,180.20
  4. Step 4: Simplify right side
    13,675.92x = 248,752,023.43
  5. Step 5: Solve for x
    x = 248,752,023.43/13,675.92
  6. Step 6: Final answer
    x = 18,189.05

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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.