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Finding the Fourth Proportional to 5,477.82, 8,213.13 and 1,966.06

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Solution

The fourth proportional to 5,477.82, 8,213.13 and 1,966.06 is: 2,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.82 : 8,213.13 = 1,966.06 : x
  2. Step 2: Convert to fraction form
    5,477.82/8,213.13 = 1,966.06/x
  3. Step 3: Cross multiply
    5,477.82x = 8,213.13 × 1,966.06
  4. Step 4: Simplify right side
    5,477.82x = 16,147,506.37
  5. Step 5: Solve for x
    x = 16,147,506.37/5,477.82
  6. Step 6: Final answer
    x = 2,947.80

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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.