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Finding the Fourth Proportional to 7,871.87, 11,817.82 and 6,768.35

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Solution

The fourth proportional to 7,871.87, 11,817.82 and 6,768.35 is: 10,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.87 : 11,817.82 = 6,768.35 : x
  2. Step 2: Convert to fraction form
    7,871.87/11,817.82 = 6,768.35/x
  3. Step 3: Cross multiply
    7,871.87x = 11,817.82 × 6,768.35
  4. Step 4: Simplify right side
    7,871.87x = 79,987,082.91
  5. Step 5: Solve for x
    x = 79,987,082.91/7,871.87
  6. Step 6: Final answer
    x = 10,161.13

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1.5x scale

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.