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Finding the Fourth Proportional to 30,949.69, 42,720.29 and 19,771.69

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Solution

The fourth proportional to 30,949.69, 42,720.29 and 19,771.69 is: 27,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.69 : 42,720.29 = 19,771.69 : x
  2. Step 2: Convert to fraction form
    30,949.69/42,720.29 = 19,771.69/x
  3. Step 3: Cross multiply
    30,949.69x = 42,720.29 × 19,771.69
  4. Step 4: Simplify right side
    30,949.69x = 844,652,273.22
  5. Step 5: Solve for x
    x = 844,652,273.22/30,949.69
  6. Step 6: Final answer
    x = 27,291.14

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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.