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Finding the Fourth Proportional to 18,478.20, 27,711.90 and 7,381.20

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Solution

The fourth proportional to 18,478.20, 27,711.90 and 7,381.20 is: 11,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478.20 : 27,711.90 = 7,381.20 : x
  2. Step 2: Convert to fraction form
    18,478.20/27,711.90 = 7,381.20/x
  3. Step 3: Cross multiply
    18,478.20x = 27,711.90 × 7,381.20
  4. Step 4: Simplify right side
    18,478.20x = 204,547,076.28
  5. Step 5: Solve for x
    x = 204,547,076.28/18,478.20
  6. Step 6: Final answer
    x = 11,069.64

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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.