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Finding the Fourth Proportional to 2,047, 3,068.38 and 813.88

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Solution

The fourth proportional to 2,047, 3,068.38 and 813.88 is: 1,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,068.38 = 813.88 : x
  2. Step 2: Convert to fraction form
    2,047/3,068.38 = 813.88/x
  3. Step 3: Cross multiply
    2,047x = 3,068.38 × 813.88
  4. Step 4: Simplify right side
    2,047x = 2,497,293.11
  5. Step 5: Solve for x
    x = 2,497,293.11/2,047
  6. Step 6: Final answer
    x = 1,219.98

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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.