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Finding the Fourth Proportional to 12,611.67, 17,403.43 and 6,945.32

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Solution

The fourth proportional to 12,611.67, 17,403.43 and 6,945.32 is: 9,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.67 : 17,403.43 = 6,945.32 : x
  2. Step 2: Convert to fraction form
    12,611.67/17,403.43 = 6,945.32/x
  3. Step 3: Cross multiply
    12,611.67x = 17,403.43 × 6,945.32
  4. Step 4: Simplify right side
    12,611.67x = 120,872,268.70
  5. Step 5: Solve for x
    x = 120,872,268.70/12,611.67
  6. Step 6: Final answer
    x = 9,584.16

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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.