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Finding the Fourth Proportional to 18,649.06, 27,973.41 and 8,782.94

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Solution

The fourth proportional to 18,649.06, 27,973.41 and 8,782.94 is: 13,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.06 : 27,973.41 = 8,782.94 : x
  2. Step 2: Convert to fraction form
    18,649.06/27,973.41 = 8,782.94/x
  3. Step 3: Cross multiply
    18,649.06x = 27,973.41 × 8,782.94
  4. Step 4: Simplify right side
    18,649.06x = 245,688,781.63
  5. Step 5: Solve for x
    x = 245,688,781.63/18,649.06
  6. Step 6: Final answer
    x = 13,174.33

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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.