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Finding the Fourth Proportional to 21,675.48, 32,509.90 and 6,882.48

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Solution

The fourth proportional to 21,675.48, 32,509.90 and 6,882.48 is: 10,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.48 : 32,509.90 = 6,882.48 : x
  2. Step 2: Convert to fraction form
    21,675.48/32,509.90 = 6,882.48/x
  3. Step 3: Cross multiply
    21,675.48x = 32,509.90 × 6,882.48
  4. Step 4: Simplify right side
    21,675.48x = 223,748,736.55
  5. Step 5: Solve for x
    x = 223,748,736.55/21,675.48
  6. Step 6: Final answer
    x = 10,322.67

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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.