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Finding the Fourth Proportional to 21,642, 29,855.52 and 12,683.92

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Solution

The fourth proportional to 21,642, 29,855.52 and 12,683.92 is: 17,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642 : 29,855.52 = 12,683.92 : x
  2. Step 2: Convert to fraction form
    21,642/29,855.52 = 12,683.92/x
  3. Step 3: Cross multiply
    21,642x = 29,855.52 × 12,683.92
  4. Step 4: Simplify right side
    21,642x = 378,685,027.24
  5. Step 5: Solve for x
    x = 378,685,027.24/21,642
  6. Step 6: Final answer
    x = 17,497.69

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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.