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Finding the Fourth Proportional to 21,480, 32,196.96 and 8,996.88

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Solution

The fourth proportional to 21,480, 32,196.96 and 8,996.88 is: 13,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,480 : 32,196.96 = 8,996.88 : x
  2. Step 2: Convert to fraction form
    21,480/32,196.96 = 8,996.88/x
  3. Step 3: Cross multiply
    21,480x = 32,196.96 × 8,996.88
  4. Step 4: Simplify right side
    21,480x = 289,672,185.48
  5. Step 5: Solve for x
    x = 289,672,185.48/21,480
  6. Step 6: Final answer
    x = 13,485.67

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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.