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Finding the Fourth Proportional to 12,915.86, 17,823.44 and 7,326.86

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Solution

The fourth proportional to 12,915.86, 17,823.44 and 7,326.86 is: 10,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.86 : 17,823.44 = 7,326.86 : x
  2. Step 2: Convert to fraction form
    12,915.86/17,823.44 = 7,326.86/x
  3. Step 3: Cross multiply
    12,915.86x = 17,823.44 × 7,326.86
  4. Step 4: Simplify right side
    12,915.86x = 130,589,778.80
  5. Step 5: Solve for x
    x = 130,589,778.80/12,915.86
  6. Step 6: Final answer
    x = 10,110.81

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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.