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Finding the Fourth Proportional to 19,078.04, 28,594.02 and 8,111

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Solution

The fourth proportional to 19,078.04, 28,594.02 and 8,111 is: 12,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078.04 : 28,594.02 = 8,111 : x
  2. Step 2: Convert to fraction form
    19,078.04/28,594.02 = 8,111/x
  3. Step 3: Cross multiply
    19,078.04x = 28,594.02 × 8,111
  4. Step 4: Simplify right side
    19,078.04x = 231,926,096.22
  5. Step 5: Solve for x
    x = 231,926,096.22/19,078.04
  6. Step 6: Final answer
    x = 12,156.70

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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.