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Finding the Fourth Proportional to 7,871.73, 11,811.69 and 3,488.16

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Solution

The fourth proportional to 7,871.73, 11,811.69 and 3,488.16 is: 5,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.73 : 11,811.69 = 3,488.16 : x
  2. Step 2: Convert to fraction form
    7,871.73/11,811.69 = 3,488.16/x
  3. Step 3: Cross multiply
    7,871.73x = 11,811.69 × 3,488.16
  4. Step 4: Simplify right side
    7,871.73x = 41,201,064.59
  5. Step 5: Solve for x
    x = 41,201,064.59/7,871.73
  6. Step 6: Final answer
    x = 5,234.05

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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.