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Finding the Fourth Proportional to 7,871.10, 11,799.36 and 3,970.98

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Solution

The fourth proportional to 7,871.10, 11,799.36 and 3,970.98 is: 5,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.10 : 11,799.36 = 3,970.98 : x
  2. Step 2: Convert to fraction form
    7,871.10/11,799.36 = 3,970.98/x
  3. Step 3: Cross multiply
    7,871.10x = 11,799.36 × 3,970.98
  4. Step 4: Simplify right side
    7,871.10x = 46,855,022.57
  5. Step 5: Solve for x
    x = 46,855,022.57/7,871.10
  6. Step 6: Final answer
    x = 5,952.79

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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.