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Finding the Fourth Proportional to 8,504.25, 12,744.63 and 4,758

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Solution

The fourth proportional to 8,504.25, 12,744.63 and 4,758 is: 7,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.25 : 12,744.63 = 4,758 : x
  2. Step 2: Convert to fraction form
    8,504.25/12,744.63 = 4,758/x
  3. Step 3: Cross multiply
    8,504.25x = 12,744.63 × 4,758
  4. Step 4: Simplify right side
    8,504.25x = 60,638,949.54
  5. Step 5: Solve for x
    x = 60,638,949.54/8,504.25
  6. Step 6: Final answer
    x = 7,130.43

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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.