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Finding the Fourth Proportional to 10,765.83, 14,852.75 and 7,939.95

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Solution

The fourth proportional to 10,765.83, 14,852.75 and 7,939.95 is: 10,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.83 : 14,852.75 = 7,939.95 : x
  2. Step 2: Convert to fraction form
    10,765.83/14,852.75 = 7,939.95/x
  3. Step 3: Cross multiply
    10,765.83x = 14,852.75 × 7,939.95
  4. Step 4: Simplify right side
    10,765.83x = 117,930,092.36
  5. Step 5: Solve for x
    x = 117,930,092.36/10,765.83
  6. Step 6: Final answer
    x = 10,954.11

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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.