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Finding the Fourth Proportional to 2,047, 3,071.02 and 814.02

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Solution

The fourth proportional to 2,047, 3,071.02 and 814.02 is: 1,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,071.02 = 814.02 : x
  2. Step 2: Convert to fraction form
    2,047/3,071.02 = 814.02/x
  3. Step 3: Cross multiply
    2,047x = 3,071.02 × 814.02
  4. Step 4: Simplify right side
    2,047x = 2,499,871.70
  5. Step 5: Solve for x
    x = 2,499,871.70/2,047
  6. Step 6: Final answer
    x = 1,221.24

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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.