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Finding the Fourth Proportional to 12,692.69, 19,042.93 and 5,678.61

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Solution

The fourth proportional to 12,692.69, 19,042.93 and 5,678.61 is: 8,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.69 : 19,042.93 = 5,678.61 : x
  2. Step 2: Convert to fraction form
    12,692.69/19,042.93 = 5,678.61/x
  3. Step 3: Cross multiply
    12,692.69x = 19,042.93 × 5,678.61
  4. Step 4: Simplify right side
    12,692.69x = 108,137,372.73
  5. Step 5: Solve for x
    x = 108,137,372.73/12,692.69
  6. Step 6: Final answer
    x = 8,519.66

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1.5x scale

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.