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Finding the Fourth Proportional to 2,047, 3,070.98 and 679

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Solution

The fourth proportional to 2,047, 3,070.98 and 679 is: 1,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,070.98 = 679 : x
  2. Step 2: Convert to fraction form
    2,047/3,070.98 = 679/x
  3. Step 3: Cross multiply
    2,047x = 3,070.98 × 679
  4. Step 4: Simplify right side
    2,047x = 2,085,195.42
  5. Step 5: Solve for x
    x = 2,085,195.42/2,047
  6. Step 6: Final answer
    x = 1,018.66

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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.