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Finding the Fourth Proportional to 18,539.86, 27,804.33 and 9,769.99

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Solution

The fourth proportional to 18,539.86, 27,804.33 and 9,769.99 is: 14,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.86 : 27,804.33 = 9,769.99 : x
  2. Step 2: Convert to fraction form
    18,539.86/27,804.33 = 9,769.99/x
  3. Step 3: Cross multiply
    18,539.86x = 27,804.33 × 9,769.99
  4. Step 4: Simplify right side
    18,539.86x = 271,648,026.06
  5. Step 5: Solve for x
    x = 271,648,026.06/18,539.86
  6. Step 6: Final answer
    x = 14,652.11

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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.