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Finding the Fourth Proportional to 27,785, 41,677.50 and 7,008.50

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Solution

The fourth proportional to 27,785, 41,677.50 and 7,008.50 is: 10,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785 : 41,677.50 = 7,008.50 : x
  2. Step 2: Convert to fraction form
    27,785/41,677.50 = 7,008.50/x
  3. Step 3: Cross multiply
    27,785x = 41,677.50 × 7,008.50
  4. Step 4: Simplify right side
    27,785x = 292,096,758.75
  5. Step 5: Solve for x
    x = 292,096,758.75/27,785
  6. Step 6: Final answer
    x = 10,512.75

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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.