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Finding the Fourth Proportional to 30,283.67, 41,767.75 and 19,676.75

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Solution

The fourth proportional to 30,283.67, 41,767.75 and 19,676.75 is: 27,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.67 : 41,767.75 = 19,676.75 : x
  2. Step 2: Convert to fraction form
    30,283.67/41,767.75 = 19,676.75/x
  3. Step 3: Cross multiply
    30,283.67x = 41,767.75 × 19,676.75
  4. Step 4: Simplify right side
    30,283.67x = 821,853,574.81
  5. Step 5: Solve for x
    x = 821,853,574.81/30,283.67
  6. Step 6: Final answer
    x = 27,138.51

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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.