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Finding the Fourth Proportional to 21,169.10, 31,765.80 and 8,030.90

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Solution

The fourth proportional to 21,169.10, 31,765.80 and 8,030.90 is: 12,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.10 : 31,765.80 = 8,030.90 : x
  2. Step 2: Convert to fraction form
    21,169.10/31,765.80 = 8,030.90/x
  3. Step 3: Cross multiply
    21,169.10x = 31,765.80 × 8,030.90
  4. Step 4: Simplify right side
    21,169.10x = 255,107,963.22
  5. Step 5: Solve for x
    x = 255,107,963.22/21,169.10
  6. Step 6: Final answer
    x = 12,050.96

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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.