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Finding the Fourth Proportional to 12,692.57, 19,042.74 and 5,678.48

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Solution

The fourth proportional to 12,692.57, 19,042.74 and 5,678.48 is: 8,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.57 : 19,042.74 = 5,678.48 : x
  2. Step 2: Convert to fraction form
    12,692.57/19,042.74 = 5,678.48/x
  3. Step 3: Cross multiply
    12,692.57x = 19,042.74 × 5,678.48
  4. Step 4: Simplify right side
    12,692.57x = 108,133,865.84
  5. Step 5: Solve for x
    x = 108,133,865.84/12,692.57
  6. Step 6: Final answer
    x = 8,519.47

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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.