Home / 11,466-15,784.20-10,286.64

Finding the Fourth Proportional to 11,466, 15,784.20 and 10,286.64

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Solution

The fourth proportional to 11,466, 15,784.20 and 10,286.64 is: 14,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466 : 15,784.20 = 10,286.64 : x
  2. Step 2: Convert to fraction form
    11,466/15,784.20 = 10,286.64/x
  3. Step 3: Cross multiply
    11,466x = 15,784.20 × 10,286.64
  4. Step 4: Simplify right side
    11,466x = 162,366,383.09
  5. Step 5: Solve for x
    x = 162,366,383.09/11,466
  6. Step 6: Final answer
    x = 14,160.68

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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.