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Finding the Fourth Proportional to 10,757.81, 14,850 and 6,778.17

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Solution

The fourth proportional to 10,757.81, 14,850 and 6,778.17 is: 9,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.81 : 14,850 = 6,778.17 : x
  2. Step 2: Convert to fraction form
    10,757.81/14,850 = 6,778.17/x
  3. Step 3: Cross multiply
    10,757.81x = 14,850 × 6,778.17
  4. Step 4: Simplify right side
    10,757.81x = 100,655,824.50
  5. Step 5: Solve for x
    x = 100,655,824.50/10,757.81
  6. Step 6: Final answer
    x = 9,356.54

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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.