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Finding the Fourth Proportional to 11,422.43, 15,763.31 and 6,386.86

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Solution

The fourth proportional to 11,422.43, 15,763.31 and 6,386.86 is: 8,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.43 : 15,763.31 = 6,386.86 : x
  2. Step 2: Convert to fraction form
    11,422.43/15,763.31 = 6,386.86/x
  3. Step 3: Cross multiply
    11,422.43x = 15,763.31 × 6,386.86
  4. Step 4: Simplify right side
    11,422.43x = 100,678,054.11
  5. Step 5: Solve for x
    x = 100,678,054.11/11,422.43
  6. Step 6: Final answer
    x = 8,814.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.