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Finding the Fourth Proportional to 21,621, 32,420.88 and 8,469.84

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Solution

The fourth proportional to 21,621, 32,420.88 and 8,469.84 is: 12,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621 : 32,420.88 = 8,469.84 : x
  2. Step 2: Convert to fraction form
    21,621/32,420.88 = 8,469.84/x
  3. Step 3: Cross multiply
    21,621x = 32,420.88 × 8,469.84
  4. Step 4: Simplify right side
    21,621x = 274,599,666.26
  5. Step 5: Solve for x
    x = 274,599,666.26/21,621
  6. Step 6: Final answer
    x = 12,700.60

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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.