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Finding the Fourth Proportional to 19,262, 28,893.12 and 6,950

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Solution

The fourth proportional to 19,262, 28,893.12 and 6,950 is: 10,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262 : 28,893.12 = 6,950 : x
  2. Step 2: Convert to fraction form
    19,262/28,893.12 = 6,950/x
  3. Step 3: Cross multiply
    19,262x = 28,893.12 × 6,950
  4. Step 4: Simplify right side
    19,262x = 200,807,184
  5. Step 5: Solve for x
    x = 200,807,184/19,262
  6. Step 6: Final answer
    x = 10,425.04

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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.