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Finding the Fourth Proportional to 21,776.86, 32,668.18 and 6,980.86

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Solution

The fourth proportional to 21,776.86, 32,668.18 and 6,980.86 is: 10,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.86 : 32,668.18 = 6,980.86 : x
  2. Step 2: Convert to fraction form
    21,776.86/32,668.18 = 6,980.86/x
  3. Step 3: Cross multiply
    21,776.86x = 32,668.18 × 6,980.86
  4. Step 4: Simplify right side
    21,776.86x = 228,051,991.03
  5. Step 5: Solve for x
    x = 228,051,991.03/21,776.86
  6. Step 6: Final answer
    x = 10,472.22

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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.