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Finding the Fourth Proportional to 18,539.16, 27,810.64 and 6,849.66

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Solution

The fourth proportional to 18,539.16, 27,810.64 and 6,849.66 is: 10,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.16 : 27,810.64 = 6,849.66 : x
  2. Step 2: Convert to fraction form
    18,539.16/27,810.64 = 6,849.66/x
  3. Step 3: Cross multiply
    18,539.16x = 27,810.64 × 6,849.66
  4. Step 4: Simplify right side
    18,539.16x = 190,493,428.38
  5. Step 5: Solve for x
    x = 190,493,428.38/18,539.16
  6. Step 6: Final answer
    x = 10,275.19

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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.