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Finding the Fourth Proportional to 11,424, 17,138.52 and 4,855.80

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Solution

The fourth proportional to 11,424, 17,138.52 and 4,855.80 is: 7,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 17,138.52 = 4,855.80 : x
  2. Step 2: Convert to fraction form
    11,424/17,138.52 = 4,855.80/x
  3. Step 3: Cross multiply
    11,424x = 17,138.52 × 4,855.80
  4. Step 4: Simplify right side
    11,424x = 83,221,225.42
  5. Step 5: Solve for x
    x = 83,221,225.42/11,424
  6. Step 6: Final answer
    x = 7,284.77

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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.