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Finding the Fourth Proportional to 10,021.68, 13,820.94 and 6,481.20

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Solution

The fourth proportional to 10,021.68, 13,820.94 and 6,481.20 is: 8,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.68 : 13,820.94 = 6,481.20 : x
  2. Step 2: Convert to fraction form
    10,021.68/13,820.94 = 6,481.20/x
  3. Step 3: Cross multiply
    10,021.68x = 13,820.94 × 6,481.20
  4. Step 4: Simplify right side
    10,021.68x = 89,576,276.33
  5. Step 5: Solve for x
    x = 89,576,276.33/10,021.68
  6. Step 6: Final answer
    x = 8,938.25

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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.