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Finding the Fourth Proportional to 21,441, 32,161.18 and 7,586.60

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Solution

The fourth proportional to 21,441, 32,161.18 and 7,586.60 is: 11,379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441 : 32,161.18 = 7,586.60 : x
  2. Step 2: Convert to fraction form
    21,441/32,161.18 = 7,586.60/x
  3. Step 3: Cross multiply
    21,441x = 32,161.18 × 7,586.60
  4. Step 4: Simplify right side
    21,441x = 243,994,008.19
  5. Step 5: Solve for x
    x = 243,994,008.19/21,441
  6. Step 6: Final answer
    x = 11,379.79

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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.