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Finding the Fourth Proportional to 11,776.58, 16,251.87 and 6,740.78

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Solution

The fourth proportional to 11,776.58, 16,251.87 and 6,740.78 is: 9,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.58 : 16,251.87 = 6,740.78 : x
  2. Step 2: Convert to fraction form
    11,776.58/16,251.87 = 6,740.78/x
  3. Step 3: Cross multiply
    11,776.58x = 16,251.87 × 6,740.78
  4. Step 4: Simplify right side
    11,776.58x = 109,550,280.26
  5. Step 5: Solve for x
    x = 109,550,280.26/11,776.58
  6. Step 6: Final answer
    x = 9,302.38

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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.