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Finding the Fourth Proportional to 12,649.62, 18,971.64 and 8,941.26

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Solution

The fourth proportional to 12,649.62, 18,971.64 and 8,941.26 is: 13,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.62 : 18,971.64 = 8,941.26 : x
  2. Step 2: Convert to fraction form
    12,649.62/18,971.64 = 8,941.26/x
  3. Step 3: Cross multiply
    12,649.62x = 18,971.64 × 8,941.26
  4. Step 4: Simplify right side
    12,649.62x = 169,630,365.87
  5. Step 5: Solve for x
    x = 169,630,365.87/12,649.62
  6. Step 6: Final answer
    x = 13,409.92

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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.