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Finding the Fourth Proportional to 12,915.14, 17,818.31 and 8,441.47

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Solution

The fourth proportional to 12,915.14, 17,818.31 and 8,441.47 is: 11,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.14 : 17,818.31 = 8,441.47 : x
  2. Step 2: Convert to fraction form
    12,915.14/17,818.31 = 8,441.47/x
  3. Step 3: Cross multiply
    12,915.14x = 17,818.31 × 8,441.47
  4. Step 4: Simplify right side
    12,915.14x = 150,412,708.21
  5. Step 5: Solve for x
    x = 150,412,708.21/12,915.14
  6. Step 6: Final answer
    x = 11,646.23

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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.