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Finding the Fourth Proportional to 8,480.43, 12,719.16 and 4,682.07

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Solution

The fourth proportional to 8,480.43, 12,719.16 and 4,682.07 is: 7,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.43 : 12,719.16 = 4,682.07 : x
  2. Step 2: Convert to fraction form
    8,480.43/12,719.16 = 4,682.07/x
  3. Step 3: Cross multiply
    8,480.43x = 12,719.16 × 4,682.07
  4. Step 4: Simplify right side
    8,480.43x = 59,551,997.46
  5. Step 5: Solve for x
    x = 59,551,997.46/8,480.43
  6. Step 6: Final answer
    x = 7,022.29

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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.