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Finding the Fourth Proportional to 21,412, 29,516.16 and 18,411.76

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Solution

The fourth proportional to 21,412, 29,516.16 and 18,411.76 is: 25,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 29,516.16 = 18,411.76 : x
  2. Step 2: Convert to fraction form
    21,412/29,516.16 = 18,411.76/x
  3. Step 3: Cross multiply
    21,412x = 29,516.16 × 18,411.76
  4. Step 4: Simplify right side
    21,412x = 543,444,454.04
  5. Step 5: Solve for x
    x = 543,444,454.04/21,412
  6. Step 6: Final answer
    x = 25,380.37

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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.