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Finding the Fourth Proportional to 21,502, 32,261.21 and 8,355.41

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Solution

The fourth proportional to 21,502, 32,261.21 and 8,355.41 is: 12,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502 : 32,261.21 = 8,355.41 : x
  2. Step 2: Convert to fraction form
    21,502/32,261.21 = 8,355.41/x
  3. Step 3: Cross multiply
    21,502x = 32,261.21 × 8,355.41
  4. Step 4: Simplify right side
    21,502x = 269,555,636.65
  5. Step 5: Solve for x
    x = 269,555,636.65/21,502
  6. Step 6: Final answer
    x = 12,536.31

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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.