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Finding the Fourth Proportional to 19,158, 28,736.97 and 6,011.38

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Solution

The fourth proportional to 19,158, 28,736.97 and 6,011.38 is: 9,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,158 : 28,736.97 = 6,011.38 : x
  2. Step 2: Convert to fraction form
    19,158/28,736.97 = 6,011.38/x
  3. Step 3: Cross multiply
    19,158x = 28,736.97 × 6,011.38
  4. Step 4: Simplify right side
    19,158x = 172,748,846.72
  5. Step 5: Solve for x
    x = 172,748,846.72/19,158
  6. Step 6: Final answer
    x = 9,017.06

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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.