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Finding the Fourth Proportional to 12,606.75, 17,397.38 and 7,017.75

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Solution

The fourth proportional to 12,606.75, 17,397.38 and 7,017.75 is: 9,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.75 : 17,397.38 = 7,017.75 : x
  2. Step 2: Convert to fraction form
    12,606.75/17,397.38 = 7,017.75/x
  3. Step 3: Cross multiply
    12,606.75x = 17,397.38 × 7,017.75
  4. Step 4: Simplify right side
    12,606.75x = 122,090,481.04
  5. Step 5: Solve for x
    x = 122,090,481.04/12,606.75
  6. Step 6: Final answer
    x = 9,684.53

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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.