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Finding the Fourth Proportional to 10,008.38, 13,805.94 and 6,027.02

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Solution

The fourth proportional to 10,008.38, 13,805.94 and 6,027.02 is: 8,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.38 : 13,805.94 = 6,027.02 : x
  2. Step 2: Convert to fraction form
    10,008.38/13,805.94 = 6,027.02/x
  3. Step 3: Cross multiply
    10,008.38x = 13,805.94 × 6,027.02
  4. Step 4: Simplify right side
    10,008.38x = 83,208,676.50
  5. Step 5: Solve for x
    x = 83,208,676.50/10,008.38
  6. Step 6: Final answer
    x = 8,313.90

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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.