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Finding the Fourth Proportional to 13,770.54, 18,993.42 and 8,468.28

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Solution

The fourth proportional to 13,770.54, 18,993.42 and 8,468.28 is: 11,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.54 : 18,993.42 = 8,468.28 : x
  2. Step 2: Convert to fraction form
    13,770.54/18,993.42 = 8,468.28/x
  3. Step 3: Cross multiply
    13,770.54x = 18,993.42 × 8,468.28
  4. Step 4: Simplify right side
    13,770.54x = 160,841,598.72
  5. Step 5: Solve for x
    x = 160,841,598.72/13,770.54
  6. Step 6: Final answer
    x = 11,680.12

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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.