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Finding the Fourth Proportional to 10,640.33, 14,676.18 and 9,221.51

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Solution

The fourth proportional to 10,640.33, 14,676.18 and 9,221.51 is: 12,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.33 : 14,676.18 = 9,221.51 : x
  2. Step 2: Convert to fraction form
    10,640.33/14,676.18 = 9,221.51/x
  3. Step 3: Cross multiply
    10,640.33x = 14,676.18 × 9,221.51
  4. Step 4: Simplify right side
    10,640.33x = 135,336,540.63
  5. Step 5: Solve for x
    x = 135,336,540.63/10,640.33
  6. Step 6: Final answer
    x = 12,719.21

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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.