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Finding the Fourth Proportional to 9,917.10, 14,860.44 and 6,786

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Solution

The fourth proportional to 9,917.10, 14,860.44 and 6,786 is: 10,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.10 : 14,860.44 = 6,786 : x
  2. Step 2: Convert to fraction form
    9,917.10/14,860.44 = 6,786/x
  3. Step 3: Cross multiply
    9,917.10x = 14,860.44 × 6,786
  4. Step 4: Simplify right side
    9,917.10x = 100,842,945.84
  5. Step 5: Solve for x
    x = 100,842,945.84/9,917.10
  6. Step 6: Final answer
    x = 10,168.59

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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.