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Finding the Fourth Proportional to 21,118, 29,142.84 and 11,688

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Solution

The fourth proportional to 21,118, 29,142.84 and 11,688 is: 16,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118 : 29,142.84 = 11,688 : x
  2. Step 2: Convert to fraction form
    21,118/29,142.84 = 11,688/x
  3. Step 3: Cross multiply
    21,118x = 29,142.84 × 11,688
  4. Step 4: Simplify right side
    21,118x = 340,621,513.92
  5. Step 5: Solve for x
    x = 340,621,513.92/21,118
  6. Step 6: Final answer
    x = 16,129.44

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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.