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Finding the Fourth Proportional to 13,238.56, 18,268 and 7,269.76

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Solution

The fourth proportional to 13,238.56, 18,268 and 7,269.76 is: 10,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.56 : 18,268 = 7,269.76 : x
  2. Step 2: Convert to fraction form
    13,238.56/18,268 = 7,269.76/x
  3. Step 3: Cross multiply
    13,238.56x = 18,268 × 7,269.76
  4. Step 4: Simplify right side
    13,238.56x = 132,803,975.68
  5. Step 5: Solve for x
    x = 132,803,975.68/13,238.56
  6. Step 6: Final answer
    x = 10,031.60

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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.