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Finding the Fourth Proportional to 12,407.26, 18,613.62 and 6,868.68

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Solution

The fourth proportional to 12,407.26, 18,613.62 and 6,868.68 is: 10,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.26 : 18,613.62 = 6,868.68 : x
  2. Step 2: Convert to fraction form
    12,407.26/18,613.62 = 6,868.68/x
  3. Step 3: Cross multiply
    12,407.26x = 18,613.62 × 6,868.68
  4. Step 4: Simplify right side
    12,407.26x = 127,850,999.42
  5. Step 5: Solve for x
    x = 127,850,999.42/12,407.26
  6. Step 6: Final answer
    x = 10,304.53

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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.