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Finding the Fourth Proportional to 21,660, 32,431.59 and 14,144.94

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Solution

The fourth proportional to 21,660, 32,431.59 and 14,144.94 is: 21,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660 : 32,431.59 = 14,144.94 : x
  2. Step 2: Convert to fraction form
    21,660/32,431.59 = 14,144.94/x
  3. Step 3: Cross multiply
    21,660x = 32,431.59 × 14,144.94
  4. Step 4: Simplify right side
    21,660x = 458,742,894.65
  5. Step 5: Solve for x
    x = 458,742,894.65/21,660
  6. Step 6: Final answer
    x = 21,179.27

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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.