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Finding the Fourth Proportional to 18,628.96, 25,706.44 and 10,971.02

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Solution

The fourth proportional to 18,628.96, 25,706.44 and 10,971.02 is: 15,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,628.96 : 25,706.44 = 10,971.02 : x
  2. Step 2: Convert to fraction form
    18,628.96/25,706.44 = 10,971.02/x
  3. Step 3: Cross multiply
    18,628.96x = 25,706.44 × 10,971.02
  4. Step 4: Simplify right side
    18,628.96x = 282,025,867.37
  5. Step 5: Solve for x
    x = 282,025,867.37/18,628.96
  6. Step 6: Final answer
    x = 15,139.11

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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.