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Finding the Fourth Proportional to 21,178.22, 31,777.66 and 8,702

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Solution

The fourth proportional to 21,178.22, 31,777.66 and 8,702 is: 13,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.22 : 31,777.66 = 8,702 : x
  2. Step 2: Convert to fraction form
    21,178.22/31,777.66 = 8,702/x
  3. Step 3: Cross multiply
    21,178.22x = 31,777.66 × 8,702
  4. Step 4: Simplify right side
    21,178.22x = 276,529,197.32
  5. Step 5: Solve for x
    x = 276,529,197.32/21,178.22
  6. Step 6: Final answer
    x = 13,057.24

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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.