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Finding the Fourth Proportional to 14,751.90, 20,356.11 and 8,783.82

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Solution

The fourth proportional to 14,751.90, 20,356.11 and 8,783.82 is: 12,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.90 : 20,356.11 = 8,783.82 : x
  2. Step 2: Convert to fraction form
    14,751.90/20,356.11 = 8,783.82/x
  3. Step 3: Cross multiply
    14,751.90x = 20,356.11 × 8,783.82
  4. Step 4: Simplify right side
    14,751.90x = 178,804,406.14
  5. Step 5: Solve for x
    x = 178,804,406.14/14,751.90
  6. Step 6: Final answer
    x = 12,120.77

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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.