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Finding the Fourth Proportional to 19,310.12, 28,951.50 and 8,065.16

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Solution

The fourth proportional to 19,310.12, 28,951.50 and 8,065.16 is: 12,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310.12 : 28,951.50 = 8,065.16 : x
  2. Step 2: Convert to fraction form
    19,310.12/28,951.50 = 8,065.16/x
  3. Step 3: Cross multiply
    19,310.12x = 28,951.50 × 8,065.16
  4. Step 4: Simplify right side
    19,310.12x = 233,498,479.74
  5. Step 5: Solve for x
    x = 233,498,479.74/19,310.12
  6. Step 6: Final answer
    x = 12,092.03

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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.