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Finding the Fourth Proportional to 6,871.68, 10,350.72 and 6,780.96

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Solution

The fourth proportional to 6,871.68, 10,350.72 and 6,780.96 is: 10,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.68 : 10,350.72 = 6,780.96 : x
  2. Step 2: Convert to fraction form
    6,871.68/10,350.72 = 6,780.96/x
  3. Step 3: Cross multiply
    6,871.68x = 10,350.72 × 6,780.96
  4. Step 4: Simplify right side
    6,871.68x = 70,187,818.29
  5. Step 5: Solve for x
    x = 70,187,818.29/6,871.68
  6. Step 6: Final answer
    x = 10,214.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.