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Finding the Fourth Proportional to 10,005, 13,806.90 and 6,026.28

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Solution

The fourth proportional to 10,005, 13,806.90 and 6,026.28 is: 8,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 13,806.90 = 6,026.28 : x
  2. Step 2: Convert to fraction form
    10,005/13,806.90 = 6,026.28/x
  3. Step 3: Cross multiply
    10,005x = 13,806.90 × 6,026.28
  4. Step 4: Simplify right side
    10,005x = 83,204,245.33
  5. Step 5: Solve for x
    x = 83,204,245.33/10,005
  6. Step 6: Final answer
    x = 8,316.27

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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.