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Finding the Fourth Proportional to 8,480.46, 12,728.52 and 6,111

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Solution

The fourth proportional to 8,480.46, 12,728.52 and 6,111 is: 9,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.46 : 12,728.52 = 6,111 : x
  2. Step 2: Convert to fraction form
    8,480.46/12,728.52 = 6,111/x
  3. Step 3: Cross multiply
    8,480.46x = 12,728.52 × 6,111
  4. Step 4: Simplify right side
    8,480.46x = 77,783,985.72
  5. Step 5: Solve for x
    x = 77,783,985.72/8,480.46
  6. Step 6: Final answer
    x = 9,172.14

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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.