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Finding the Fourth Proportional to 21,750, 32,632.32 and 9,269.52

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Solution

The fourth proportional to 21,750, 32,632.32 and 9,269.52 is: 13,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,750 : 32,632.32 = 9,269.52 : x
  2. Step 2: Convert to fraction form
    21,750/32,632.32 = 9,269.52/x
  3. Step 3: Cross multiply
    21,750x = 32,632.32 × 9,269.52
  4. Step 4: Simplify right side
    21,750x = 302,485,942.89
  5. Step 5: Solve for x
    x = 302,485,942.89/21,750
  6. Step 6: Final answer
    x = 13,907.40

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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.