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Finding the Fourth Proportional to 15,418, 21,276.80 and 8,344.42

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Solution

The fourth proportional to 15,418, 21,276.80 and 8,344.42 is: 11,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,418 : 21,276.80 = 8,344.42 : x
  2. Step 2: Convert to fraction form
    15,418/21,276.80 = 8,344.42/x
  3. Step 3: Cross multiply
    15,418x = 21,276.80 × 8,344.42
  4. Step 4: Simplify right side
    15,418x = 177,542,555.46
  5. Step 5: Solve for x
    x = 177,542,555.46/15,418
  6. Step 6: Final answer
    x = 11,515.28

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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.