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Finding the Fourth Proportional to 10,001.86, 14,994.28 and 6,109

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Solution

The fourth proportional to 10,001.86, 14,994.28 and 6,109 is: 9,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.86 : 14,994.28 = 6,109 : x
  2. Step 2: Convert to fraction form
    10,001.86/14,994.28 = 6,109/x
  3. Step 3: Cross multiply
    10,001.86x = 14,994.28 × 6,109
  4. Step 4: Simplify right side
    10,001.86x = 91,600,056.52
  5. Step 5: Solve for x
    x = 91,600,056.52/10,001.86
  6. Step 6: Final answer
    x = 9,158.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.