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Finding the Fourth Proportional to 7,643.86, 11,448.67 and 6,643.86

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Solution

The fourth proportional to 7,643.86, 11,448.67 and 6,643.86 is: 9,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.86 : 11,448.67 = 6,643.86 : x
  2. Step 2: Convert to fraction form
    7,643.86/11,448.67 = 6,643.86/x
  3. Step 3: Cross multiply
    7,643.86x = 11,448.67 × 6,643.86
  4. Step 4: Simplify right side
    7,643.86x = 76,063,360.67
  5. Step 5: Solve for x
    x = 76,063,360.67/7,643.86
  6. Step 6: Final answer
    x = 9,950.91

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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.