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Finding the Fourth Proportional to 21,664.70, 32,497.04 and 7,813.70

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Solution

The fourth proportional to 21,664.70, 32,497.04 and 7,813.70 is: 11,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.70 : 32,497.04 = 7,813.70 : x
  2. Step 2: Convert to fraction form
    21,664.70/32,497.04 = 7,813.70/x
  3. Step 3: Cross multiply
    21,664.70x = 32,497.04 × 7,813.70
  4. Step 4: Simplify right side
    21,664.70x = 253,921,919.89
  5. Step 5: Solve for x
    x = 253,921,919.89/21,664.70
  6. Step 6: Final answer
    x = 11,720.54

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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.