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Finding the Fourth Proportional to 12,692.50, 17,513.22 and 8,215.63

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Solution

The fourth proportional to 12,692.50, 17,513.22 and 8,215.63 is: 11,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.50 : 17,513.22 = 8,215.63 : x
  2. Step 2: Convert to fraction form
    12,692.50/17,513.22 = 8,215.63/x
  3. Step 3: Cross multiply
    12,692.50x = 17,513.22 × 8,215.63
  4. Step 4: Simplify right side
    12,692.50x = 143,882,135.63
  5. Step 5: Solve for x
    x = 143,882,135.63/12,692.50
  6. Step 6: Final answer
    x = 11,336.00

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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.