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Finding the Fourth Proportional to 21,052, 29,051.56 and 11,491.80

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Solution

The fourth proportional to 21,052, 29,051.56 and 11,491.80 is: 15,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052 : 29,051.56 = 11,491.80 : x
  2. Step 2: Convert to fraction form
    21,052/29,051.56 = 11,491.80/x
  3. Step 3: Cross multiply
    21,052x = 29,051.56 × 11,491.80
  4. Step 4: Simplify right side
    21,052x = 333,854,717.21
  5. Step 5: Solve for x
    x = 333,854,717.21/21,052
  6. Step 6: Final answer
    x = 15,858.57

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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.