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Finding the Fourth Proportional to 18,649.50, 27,974.25 and 6,337.50

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Solution

The fourth proportional to 18,649.50, 27,974.25 and 6,337.50 is: 9,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.50 : 27,974.25 = 6,337.50 : x
  2. Step 2: Convert to fraction form
    18,649.50/27,974.25 = 6,337.50/x
  3. Step 3: Cross multiply
    18,649.50x = 27,974.25 × 6,337.50
  4. Step 4: Simplify right side
    18,649.50x = 177,286,809.38
  5. Step 5: Solve for x
    x = 177,286,809.38/18,649.50
  6. Step 6: Final answer
    x = 9,506.25

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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.