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Finding the Fourth Proportional to 21,218.56, 31,820 and 8,064.32

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Solution

The fourth proportional to 21,218.56, 31,820 and 8,064.32 is: 12,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.56 : 31,820 = 8,064.32 : x
  2. Step 2: Convert to fraction form
    21,218.56/31,820 = 8,064.32/x
  3. Step 3: Cross multiply
    21,218.56x = 31,820 × 8,064.32
  4. Step 4: Simplify right side
    21,218.56x = 256,606,662.40
  5. Step 5: Solve for x
    x = 256,606,662.40/21,218.56
  6. Step 6: Final answer
    x = 12,093.50

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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.