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Finding the Fourth Proportional to 10,000, 13,800 and 5,809.06

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Solution

The fourth proportional to 10,000, 13,800 and 5,809.06 is: 8,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000 : 13,800 = 5,809.06 : x
  2. Step 2: Convert to fraction form
    10,000/13,800 = 5,809.06/x
  3. Step 3: Cross multiply
    10,000x = 13,800 × 5,809.06
  4. Step 4: Simplify right side
    10,000x = 80,165,028
  5. Step 5: Solve for x
    x = 80,165,028/10,000
  6. Step 6: Final answer
    x = 8,016.50

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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.