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Finding the Fourth Proportional to 12,692.57, 17,509.91 and 8,217.79

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Solution

The fourth proportional to 12,692.57, 17,509.91 and 8,217.79 is: 11,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.57 : 17,509.91 = 8,217.79 : x
  2. Step 2: Convert to fraction form
    12,692.57/17,509.91 = 8,217.79/x
  3. Step 3: Cross multiply
    12,692.57x = 17,509.91 × 8,217.79
  4. Step 4: Simplify right side
    12,692.57x = 143,892,678.44
  5. Step 5: Solve for x
    x = 143,892,678.44/12,692.57
  6. Step 6: Final answer
    x = 11,336.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.