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Finding the Fourth Proportional to 27,143.84, 40,728 and 17,280.56

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Solution

The fourth proportional to 27,143.84, 40,728 and 17,280.56 is: 25,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.84 : 40,728 = 17,280.56 : x
  2. Step 2: Convert to fraction form
    27,143.84/40,728 = 17,280.56/x
  3. Step 3: Cross multiply
    27,143.84x = 40,728 × 17,280.56
  4. Step 4: Simplify right side
    27,143.84x = 703,802,647.68
  5. Step 5: Solve for x
    x = 703,802,647.68/27,143.84
  6. Step 6: Final answer
    x = 25,928.63

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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.