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Finding the Fourth Proportional to 11,838.72, 17,766 and 4,913.22

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Solution

The fourth proportional to 11,838.72, 17,766 and 4,913.22 is: 7,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.72 : 17,766 = 4,913.22 : x
  2. Step 2: Convert to fraction form
    11,838.72/17,766 = 4,913.22/x
  3. Step 3: Cross multiply
    11,838.72x = 17,766 × 4,913.22
  4. Step 4: Simplify right side
    11,838.72x = 87,288,266.52
  5. Step 5: Solve for x
    x = 87,288,266.52/11,838.72
  6. Step 6: Final answer
    x = 7,373.12

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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.