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Finding the Fourth Proportional to 12,509.82, 18,743.90 and 8,804.27

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Solution

The fourth proportional to 12,509.82, 18,743.90 and 8,804.27 is: 13,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.82 : 18,743.90 = 8,804.27 : x
  2. Step 2: Convert to fraction form
    12,509.82/18,743.90 = 8,804.27/x
  3. Step 3: Cross multiply
    12,509.82x = 18,743.90 × 8,804.27
  4. Step 4: Simplify right side
    12,509.82x = 165,026,356.45
  5. Step 5: Solve for x
    x = 165,026,356.45/12,509.82
  6. Step 6: Final answer
    x = 13,191.75

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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.