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Finding the Fourth Proportional to 12,327.64, 17,012.12 and 6,738.64

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Solution

The fourth proportional to 12,327.64, 17,012.12 and 6,738.64 is: 9,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.64 : 17,012.12 = 6,738.64 : x
  2. Step 2: Convert to fraction form
    12,327.64/17,012.12 = 6,738.64/x
  3. Step 3: Cross multiply
    12,327.64x = 17,012.12 × 6,738.64
  4. Step 4: Simplify right side
    12,327.64x = 114,638,552.32
  5. Step 5: Solve for x
    x = 114,638,552.32/12,327.64
  6. Step 6: Final answer
    x = 9,299.31

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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.