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Finding the Fourth Proportional to 11,287.78, 16,931.70 and 3,079.78

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Solution

The fourth proportional to 11,287.78, 16,931.70 and 3,079.78 is: 4,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.78 : 16,931.70 = 3,079.78 : x
  2. Step 2: Convert to fraction form
    11,287.78/16,931.70 = 3,079.78/x
  3. Step 3: Cross multiply
    11,287.78x = 16,931.70 × 3,079.78
  4. Step 4: Simplify right side
    11,287.78x = 52,145,911.03
  5. Step 5: Solve for x
    x = 52,145,911.03/11,287.78
  6. Step 6: Final answer
    x = 4,619.68

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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.