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Finding the Fourth Proportional to 27,205.78, 40,769.73 and 15,494.80

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Solution

The fourth proportional to 27,205.78, 40,769.73 and 15,494.80 is: 23,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.78 : 40,769.73 = 15,494.80 : x
  2. Step 2: Convert to fraction form
    27,205.78/40,769.73 = 15,494.80/x
  3. Step 3: Cross multiply
    27,205.78x = 40,769.73 × 15,494.80
  4. Step 4: Simplify right side
    27,205.78x = 631,718,812.40
  5. Step 5: Solve for x
    x = 631,718,812.40/27,205.78
  6. Step 6: Final answer
    x = 23,220.02

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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.