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Finding the Fourth Proportional to 6,871.92, 10,307.86 and 1,677.79

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Solution

The fourth proportional to 6,871.92, 10,307.86 and 1,677.79 is: 2,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.92 : 10,307.86 = 1,677.79 : x
  2. Step 2: Convert to fraction form
    6,871.92/10,307.86 = 1,677.79/x
  3. Step 3: Cross multiply
    6,871.92x = 10,307.86 × 1,677.79
  4. Step 4: Simplify right side
    6,871.92x = 17,294,424.43
  5. Step 5: Solve for x
    x = 17,294,424.43/6,871.92
  6. Step 6: Final answer
    x = 2,516.68

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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.