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Finding the Fourth Proportional to 8,101, 12,124.06 and 4,982.99

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Solution

The fourth proportional to 8,101, 12,124.06 and 4,982.99 is: 7,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 12,124.06 = 4,982.99 : x
  2. Step 2: Convert to fraction form
    8,101/12,124.06 = 4,982.99/x
  3. Step 3: Cross multiply
    8,101x = 12,124.06 × 4,982.99
  4. Step 4: Simplify right side
    8,101x = 60,414,069.74
  5. Step 5: Solve for x
    x = 60,414,069.74/8,101
  6. Step 6: Final answer
    x = 7,457.61

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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.