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Finding the Fourth Proportional to 8,646.45, 11,932.67 and 6,518.22

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Solution

The fourth proportional to 8,646.45, 11,932.67 and 6,518.22 is: 8,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.45 : 11,932.67 = 6,518.22 : x
  2. Step 2: Convert to fraction form
    8,646.45/11,932.67 = 6,518.22/x
  3. Step 3: Cross multiply
    8,646.45x = 11,932.67 × 6,518.22
  4. Step 4: Simplify right side
    8,646.45x = 77,779,735.66
  5. Step 5: Solve for x
    x = 77,779,735.66/8,646.45
  6. Step 6: Final answer
    x = 8,995.57

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