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Finding the Fourth Proportional to 9,781.36, 14,673.86 and 3,209.42

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Solution

The fourth proportional to 9,781.36, 14,673.86 and 3,209.42 is: 4,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.36 : 14,673.86 = 3,209.42 : x
  2. Step 2: Convert to fraction form
    9,781.36/14,673.86 = 3,209.42/x
  3. Step 3: Cross multiply
    9,781.36x = 14,673.86 × 3,209.42
  4. Step 4: Simplify right side
    9,781.36x = 47,094,612.43
  5. Step 5: Solve for x
    x = 47,094,612.43/9,781.36
  6. Step 6: Final answer
    x = 4,814.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.