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Finding the Fourth Proportional to 27,980.99, 41,971.48 and 19,189.25

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Solution

The fourth proportional to 27,980.99, 41,971.48 and 19,189.25 is: 28,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.99 : 41,971.48 = 19,189.25 : x
  2. Step 2: Convert to fraction form
    27,980.99/41,971.48 = 19,189.25/x
  3. Step 3: Cross multiply
    27,980.99x = 41,971.48 × 19,189.25
  4. Step 4: Simplify right side
    27,980.99x = 805,400,964.76
  5. Step 5: Solve for x
    x = 805,400,964.76/27,980.99
  6. Step 6: Final answer
    x = 28,783.87

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1.5x scale

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.