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Finding the Fourth Proportional to 8,305.04, 12,466.80 and 4,143.92

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Solution

The fourth proportional to 8,305.04, 12,466.80 and 4,143.92 is: 6,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.04 : 12,466.80 = 4,143.92 : x
  2. Step 2: Convert to fraction form
    8,305.04/12,466.80 = 4,143.92/x
  3. Step 3: Cross multiply
    8,305.04x = 12,466.80 × 4,143.92
  4. Step 4: Simplify right side
    8,305.04x = 51,661,421.86
  5. Step 5: Solve for x
    x = 51,661,421.86/8,305.04
  6. Step 6: Final answer
    x = 6,220.49

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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.