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Finding the Fourth Proportional to 8,173.92, 12,266.40 and 2,980.32

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Solution

The fourth proportional to 8,173.92, 12,266.40 and 2,980.32 is: 4,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.92 : 12,266.40 = 2,980.32 : x
  2. Step 2: Convert to fraction form
    8,173.92/12,266.40 = 2,980.32/x
  3. Step 3: Cross multiply
    8,173.92x = 12,266.40 × 2,980.32
  4. Step 4: Simplify right side
    8,173.92x = 36,557,797.25
  5. Step 5: Solve for x
    x = 36,557,797.25/8,173.92
  6. Step 6: Final answer
    x = 4,472.49

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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.