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Finding the Fourth Proportional to 2,047.45, 3,071.49 and 814.99

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Solution

The fourth proportional to 2,047.45, 3,071.49 and 814.99 is: 1,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.45 : 3,071.49 = 814.99 : x
  2. Step 2: Convert to fraction form
    2,047.45/3,071.49 = 814.99/x
  3. Step 3: Cross multiply
    2,047.45x = 3,071.49 × 814.99
  4. Step 4: Simplify right side
    2,047.45x = 2,503,233.64
  5. Step 5: Solve for x
    x = 2,503,233.64/2,047.45
  6. Step 6: Final answer
    x = 1,222.61

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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.