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Finding the Fourth Proportional to 18,492.71, 27,741.49 and 9,728.10

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Solution

The fourth proportional to 18,492.71, 27,741.49 and 9,728.10 is: 14,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492.71 : 27,741.49 = 9,728.10 : x
  2. Step 2: Convert to fraction form
    18,492.71/27,741.49 = 9,728.10/x
  3. Step 3: Cross multiply
    18,492.71x = 27,741.49 × 9,728.10
  4. Step 4: Simplify right side
    18,492.71x = 269,871,964.55
  5. Step 5: Solve for x
    x = 269,871,964.55/18,492.71
  6. Step 6: Final answer
    x = 14,593.43

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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.