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Finding the Fourth Proportional to 11,770.76, 17,656.17 and 2,886.13

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Solution

The fourth proportional to 11,770.76, 17,656.17 and 2,886.13 is: 4,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.76 : 17,656.17 = 2,886.13 : x
  2. Step 2: Convert to fraction form
    11,770.76/17,656.17 = 2,886.13/x
  3. Step 3: Cross multiply
    11,770.76x = 17,656.17 × 2,886.13
  4. Step 4: Simplify right side
    11,770.76x = 50,958,001.92
  5. Step 5: Solve for x
    x = 50,958,001.92/11,770.76
  6. Step 6: Final answer
    x = 4,329.20

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1.5x scale

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.