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Finding the Fourth Proportional to 21,416, 32,102.67 and 10,319.54

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Solution

The fourth proportional to 21,416, 32,102.67 and 10,319.54 is: 15,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416 : 32,102.67 = 10,319.54 : x
  2. Step 2: Convert to fraction form
    21,416/32,102.67 = 10,319.54/x
  3. Step 3: Cross multiply
    21,416x = 32,102.67 × 10,319.54
  4. Step 4: Simplify right side
    21,416x = 331,284,787.17
  5. Step 5: Solve for x
    x = 331,284,787.17/21,416
  6. Step 6: Final answer
    x = 15,469.03

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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.