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Finding the Fourth Proportional to 8,305.83, 12,462.98 and 5,185.17

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Solution

The fourth proportional to 8,305.83, 12,462.98 and 5,185.17 is: 7,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.83 : 12,462.98 = 5,185.17 : x
  2. Step 2: Convert to fraction form
    8,305.83/12,462.98 = 5,185.17/x
  3. Step 3: Cross multiply
    8,305.83x = 12,462.98 × 5,185.17
  4. Step 4: Simplify right side
    8,305.83x = 64,622,644.08
  5. Step 5: Solve for x
    x = 64,622,644.08/8,305.83
  6. Step 6: Final answer
    x = 7,780.40

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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.