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Finding the Fourth Proportional to 8,516, 11,752.62 and 4,790

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Solution

The fourth proportional to 8,516, 11,752.62 and 4,790 is: 6,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516 : 11,752.62 = 4,790 : x
  2. Step 2: Convert to fraction form
    8,516/11,752.62 = 4,790/x
  3. Step 3: Cross multiply
    8,516x = 11,752.62 × 4,790
  4. Step 4: Simplify right side
    8,516x = 56,295,049.80
  5. Step 5: Solve for x
    x = 56,295,049.80/8,516
  6. Step 6: Final answer
    x = 6,610.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.