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Finding the Fourth Proportional to 9,781.70, 14,676.88 and 3,949.70

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Solution

The fourth proportional to 9,781.70, 14,676.88 and 3,949.70 is: 5,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.70 : 14,676.88 = 3,949.70 : x
  2. Step 2: Convert to fraction form
    9,781.70/14,676.88 = 3,949.70/x
  3. Step 3: Cross multiply
    9,781.70x = 14,676.88 × 3,949.70
  4. Step 4: Simplify right side
    9,781.70x = 57,969,272.94
  5. Step 5: Solve for x
    x = 57,969,272.94/9,781.70
  6. Step 6: Final answer
    x = 5,926.30

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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.