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Finding the Fourth Proportional to 21,575.84, 32,363.76 and 6,786.06

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Solution

The fourth proportional to 21,575.84, 32,363.76 and 6,786.06 is: 10,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.84 : 32,363.76 = 6,786.06 : x
  2. Step 2: Convert to fraction form
    21,575.84/32,363.76 = 6,786.06/x
  3. Step 3: Cross multiply
    21,575.84x = 32,363.76 × 6,786.06
  4. Step 4: Simplify right side
    21,575.84x = 219,622,417.19
  5. Step 5: Solve for x
    x = 219,622,417.19/21,575.84
  6. Step 6: Final answer
    x = 10,179.09

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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.