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Finding the Fourth Proportional to 13,242.54, 18,245.84 and 9,884

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Solution

The fourth proportional to 13,242.54, 18,245.84 and 9,884 is: 13,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.54 : 18,245.84 = 9,884 : x
  2. Step 2: Convert to fraction form
    13,242.54/18,245.84 = 9,884/x
  3. Step 3: Cross multiply
    13,242.54x = 18,245.84 × 9,884
  4. Step 4: Simplify right side
    13,242.54x = 180,341,882.56
  5. Step 5: Solve for x
    x = 180,341,882.56/13,242.54
  6. Step 6: Final answer
    x = 13,618.38

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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.