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Finding the Fourth Proportional to 11,798.93, 16,282.22 and 6,421.48

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Solution

The fourth proportional to 11,798.93, 16,282.22 and 6,421.48 is: 8,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.93 : 16,282.22 = 6,421.48 : x
  2. Step 2: Convert to fraction form
    11,798.93/16,282.22 = 6,421.48/x
  3. Step 3: Cross multiply
    11,798.93x = 16,282.22 × 6,421.48
  4. Step 4: Simplify right side
    11,798.93x = 104,555,909.38
  5. Step 5: Solve for x
    x = 104,555,909.38/11,798.93
  6. Step 6: Final answer
    x = 8,861.47

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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.