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Finding the Fourth Proportional to 14,986.50, 22,480.83 and 5,752.50

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Solution

The fourth proportional to 14,986.50, 22,480.83 and 5,752.50 is: 8,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986.50 : 22,480.83 = 5,752.50 : x
  2. Step 2: Convert to fraction form
    14,986.50/22,480.83 = 5,752.50/x
  3. Step 3: Cross multiply
    14,986.50x = 22,480.83 × 5,752.50
  4. Step 4: Simplify right side
    14,986.50x = 129,320,974.58
  5. Step 5: Solve for x
    x = 129,320,974.58/14,986.50
  6. Step 6: Final answer
    x = 8,629.16

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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.