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Finding the Fourth Proportional to 19,188.68, 28,786.91 and 8,095.40

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Solution

The fourth proportional to 19,188.68, 28,786.91 and 8,095.40 is: 12,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188.68 : 28,786.91 = 8,095.40 : x
  2. Step 2: Convert to fraction form
    19,188.68/28,786.91 = 8,095.40/x
  3. Step 3: Cross multiply
    19,188.68x = 28,786.91 × 8,095.40
  4. Step 4: Simplify right side
    19,188.68x = 233,041,366.80
  5. Step 5: Solve for x
    x = 233,041,366.80/19,188.68
  6. Step 6: Final answer
    x = 12,144.73

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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.