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Finding the Fourth Proportional to 20,782.36, 28,670.52 and 12,394

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Solution

The fourth proportional to 20,782.36, 28,670.52 and 12,394 is: 17,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.36 : 28,670.52 = 12,394 : x
  2. Step 2: Convert to fraction form
    20,782.36/28,670.52 = 12,394/x
  3. Step 3: Cross multiply
    20,782.36x = 28,670.52 × 12,394
  4. Step 4: Simplify right side
    20,782.36x = 355,342,424.88
  5. Step 5: Solve for x
    x = 355,342,424.88/20,782.36
  6. Step 6: Final answer
    x = 17,098.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.