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Finding the Fourth Proportional to 13,738.66, 18,959.76 and 7,770.21

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Solution

The fourth proportional to 13,738.66, 18,959.76 and 7,770.21 is: 10,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.66 : 18,959.76 = 7,770.21 : x
  2. Step 2: Convert to fraction form
    13,738.66/18,959.76 = 7,770.21/x
  3. Step 3: Cross multiply
    13,738.66x = 18,959.76 × 7,770.21
  4. Step 4: Simplify right side
    13,738.66x = 147,321,316.75
  5. Step 5: Solve for x
    x = 147,321,316.75/13,738.66
  6. Step 6: Final answer
    x = 10,723.12

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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.