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Finding the Fourth Proportional to 6,871.00, 10,306.53 and 1,676.88

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Solution

The fourth proportional to 6,871.00, 10,306.53 and 1,676.88 is: 2,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.00 : 10,306.53 = 1,676.88 : x
  2. Step 2: Convert to fraction form
    6,871.00/10,306.53 = 1,676.88/x
  3. Step 3: Cross multiply
    6,871.00x = 10,306.53 × 1,676.88
  4. Step 4: Simplify right side
    6,871.00x = 17,282,769.09
  5. Step 5: Solve for x
    x = 17,282,769.09/6,871.00
  6. Step 6: Final answer
    x = 2,515.32

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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.