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Finding the Fourth Proportional to 8,200.44, 12,303.54 and 6,977.16

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Solution

The fourth proportional to 8,200.44, 12,303.54 and 6,977.16 is: 10,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.44 : 12,303.54 = 6,977.16 : x
  2. Step 2: Convert to fraction form
    8,200.44/12,303.54 = 6,977.16/x
  3. Step 3: Cross multiply
    8,200.44x = 12,303.54 × 6,977.16
  4. Step 4: Simplify right side
    8,200.44x = 85,843,767.15
  5. Step 5: Solve for x
    x = 85,843,767.15/8,200.44
  6. Step 6: Final answer
    x = 10,468.19

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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.