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Finding the Fourth Proportional to 25,489, 38,236.74 and 7,021

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Solution

The fourth proportional to 25,489, 38,236.74 and 7,021 is: 10,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489 : 38,236.74 = 7,021 : x
  2. Step 2: Convert to fraction form
    25,489/38,236.74 = 7,021/x
  3. Step 3: Cross multiply
    25,489x = 38,236.74 × 7,021
  4. Step 4: Simplify right side
    25,489x = 268,460,151.54
  5. Step 5: Solve for x
    x = 268,460,151.54/25,489
  6. Step 6: Final answer
    x = 10,532.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.