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Finding the Fourth Proportional to 12,893.78, 19,339.28 and 7,962.09

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Solution

The fourth proportional to 12,893.78, 19,339.28 and 7,962.09 is: 11,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.78 : 19,339.28 = 7,962.09 : x
  2. Step 2: Convert to fraction form
    12,893.78/19,339.28 = 7,962.09/x
  3. Step 3: Cross multiply
    12,893.78x = 19,339.28 × 7,962.09
  4. Step 4: Simplify right side
    12,893.78x = 153,981,048.08
  5. Step 5: Solve for x
    x = 153,981,048.08/12,893.78
  6. Step 6: Final answer
    x = 11,942.28

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1.5x scale

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.