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Finding the Fourth Proportional to 8,305.76, 12,455.04 and 2,460.80

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Solution

The fourth proportional to 8,305.76, 12,455.04 and 2,460.80 is: 3,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.76 : 12,455.04 = 2,460.80 : x
  2. Step 2: Convert to fraction form
    8,305.76/12,455.04 = 2,460.80/x
  3. Step 3: Cross multiply
    8,305.76x = 12,455.04 × 2,460.80
  4. Step 4: Simplify right side
    8,305.76x = 30,649,362.43
  5. Step 5: Solve for x
    x = 30,649,362.43/8,305.76
  6. Step 6: Final answer
    x = 3,690.13

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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.