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Finding the Fourth Proportional to 13,627.80, 18,806.49 and 7,659.54

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Solution

The fourth proportional to 13,627.80, 18,806.49 and 7,659.54 is: 10,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.80 : 18,806.49 = 7,659.54 : x
  2. Step 2: Convert to fraction form
    13,627.80/18,806.49 = 7,659.54/x
  3. Step 3: Cross multiply
    13,627.80x = 18,806.49 × 7,659.54
  4. Step 4: Simplify right side
    13,627.80x = 144,049,062.41
  5. Step 5: Solve for x
    x = 144,049,062.41/13,627.80
  6. Step 6: Final answer
    x = 10,570.24

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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.