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Finding the Fourth Proportional to 21,615, 29,828.70 and 11,679

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Solution

The fourth proportional to 21,615, 29,828.70 and 11,679 is: 16,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615 : 29,828.70 = 11,679 : x
  2. Step 2: Convert to fraction form
    21,615/29,828.70 = 11,679/x
  3. Step 3: Cross multiply
    21,615x = 29,828.70 × 11,679
  4. Step 4: Simplify right side
    21,615x = 348,369,387.30
  5. Step 5: Solve for x
    x = 348,369,387.30/21,615
  6. Step 6: Final answer
    x = 16,117.02

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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.