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Finding the Fourth Proportional to 11,646.81, 17,380.71 and 10,401.21

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Solution

The fourth proportional to 11,646.81, 17,380.71 and 10,401.21 is: 15,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.81 : 17,380.71 = 10,401.21 : x
  2. Step 2: Convert to fraction form
    11,646.81/17,380.71 = 10,401.21/x
  3. Step 3: Cross multiply
    11,646.81x = 17,380.71 × 10,401.21
  4. Step 4: Simplify right side
    11,646.81x = 180,780,414.66
  5. Step 5: Solve for x
    x = 180,780,414.66/11,646.81
  6. Step 6: Final answer
    x = 15,521.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.