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Finding the Fourth Proportional to 21,707, 32,564.73 and 9,226.88

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Solution

The fourth proportional to 21,707, 32,564.73 and 9,226.88 is: 13,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707 : 32,564.73 = 9,226.88 : x
  2. Step 2: Convert to fraction form
    21,707/32,564.73 = 9,226.88/x
  3. Step 3: Cross multiply
    21,707x = 32,564.73 × 9,226.88
  4. Step 4: Simplify right side
    21,707x = 300,470,855.94
  5. Step 5: Solve for x
    x = 300,470,855.94/21,707
  6. Step 6: Final answer
    x = 13,842.12

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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.