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Finding the Fourth Proportional to 15,808, 21,814.62 and 8,734.27

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Solution

The fourth proportional to 15,808, 21,814.62 and 8,734.27 is: 12,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808 : 21,814.62 = 8,734.27 : x
  2. Step 2: Convert to fraction form
    15,808/21,814.62 = 8,734.27/x
  3. Step 3: Cross multiply
    15,808x = 21,814.62 × 8,734.27
  4. Step 4: Simplify right side
    15,808x = 190,534,781.03
  5. Step 5: Solve for x
    x = 190,534,781.03/15,808
  6. Step 6: Final answer
    x = 12,053.06

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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.