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Finding the Fourth Proportional to 11,807.91, 17,711.60 and 2,922.89

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Solution

The fourth proportional to 11,807.91, 17,711.60 and 2,922.89 is: 4,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.91 : 17,711.60 = 2,922.89 : x
  2. Step 2: Convert to fraction form
    11,807.91/17,711.60 = 2,922.89/x
  3. Step 3: Cross multiply
    11,807.91x = 17,711.60 × 2,922.89
  4. Step 4: Simplify right side
    11,807.91x = 51,768,955.35
  5. Step 5: Solve for x
    x = 51,768,955.35/11,807.91
  6. Step 6: Final answer
    x = 4,384.26

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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.