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Finding the Fourth Proportional to 21,975.76, 32,969.04 and 6,393.52

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Solution

The fourth proportional to 21,975.76, 32,969.04 and 6,393.52 is: 9,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.76 : 32,969.04 = 6,393.52 : x
  2. Step 2: Convert to fraction form
    21,975.76/32,969.04 = 6,393.52/x
  3. Step 3: Cross multiply
    21,975.76x = 32,969.04 × 6,393.52
  4. Step 4: Simplify right side
    21,975.76x = 210,788,216.62
  5. Step 5: Solve for x
    x = 210,788,216.62/21,975.76
  6. Step 6: Final answer
    x = 9,591.85

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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.