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Finding the Fourth Proportional to 10,808, 14,917.80 and 7,040.56

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Solution

The fourth proportional to 10,808, 14,917.80 and 7,040.56 is: 9,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808 : 14,917.80 = 7,040.56 : x
  2. Step 2: Convert to fraction form
    10,808/14,917.80 = 7,040.56/x
  3. Step 3: Cross multiply
    10,808x = 14,917.80 × 7,040.56
  4. Step 4: Simplify right side
    10,808x = 105,029,665.97
  5. Step 5: Solve for x
    x = 105,029,665.97/10,808
  6. Step 6: Final answer
    x = 9,717.77

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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.