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Finding the Fourth Proportional to 13,751.61, 18,977.48 and 8,974.60

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Solution

The fourth proportional to 13,751.61, 18,977.48 and 8,974.60 is: 12,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.61 : 18,977.48 = 8,974.60 : x
  2. Step 2: Convert to fraction form
    13,751.61/18,977.48 = 8,974.60/x
  3. Step 3: Cross multiply
    13,751.61x = 18,977.48 × 8,974.60
  4. Step 4: Simplify right side
    13,751.61x = 170,315,390.58
  5. Step 5: Solve for x
    x = 170,315,390.58/13,751.61
  6. Step 6: Final answer
    x = 12,385.13

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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.