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Finding the Fourth Proportional to 21,051.66, 31,549.50 and 11,169.66

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Solution

The fourth proportional to 21,051.66, 31,549.50 and 11,169.66 is: 16,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.66 : 31,549.50 = 11,169.66 : x
  2. Step 2: Convert to fraction form
    21,051.66/31,549.50 = 11,169.66/x
  3. Step 3: Cross multiply
    21,051.66x = 31,549.50 × 11,169.66
  4. Step 4: Simplify right side
    21,051.66x = 352,397,188.17
  5. Step 5: Solve for x
    x = 352,397,188.17/21,051.66
  6. Step 6: Final answer
    x = 16,739.64

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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.