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Finding the Fourth Proportional to 12,692.16, 17,516.70 and 7,975.80

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Solution

The fourth proportional to 12,692.16, 17,516.70 and 7,975.80 is: 11,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.16 : 17,516.70 = 7,975.80 : x
  2. Step 2: Convert to fraction form
    12,692.16/17,516.70 = 7,975.80/x
  3. Step 3: Cross multiply
    12,692.16x = 17,516.70 × 7,975.80
  4. Step 4: Simplify right side
    12,692.16x = 139,709,695.86
  5. Step 5: Solve for x
    x = 139,709,695.86/12,692.16
  6. Step 6: Final answer
    x = 11,007.56

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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.