Home / 27,812.56-41,689.68-13,009

Finding the Fourth Proportional to 27,812.56, 41,689.68 and 13,009

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Solution

The fourth proportional to 27,812.56, 41,689.68 and 13,009 is: 19,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.56 : 41,689.68 = 13,009 : x
  2. Step 2: Convert to fraction form
    27,812.56/41,689.68 = 13,009/x
  3. Step 3: Cross multiply
    27,812.56x = 41,689.68 × 13,009
  4. Step 4: Simplify right side
    27,812.56x = 542,341,047.12
  5. Step 5: Solve for x
    x = 542,341,047.12/27,812.56
  6. Step 6: Final answer
    x = 19,499.86

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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.