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Finding the Fourth Proportional to 21,786.55, 32,666.64 and 9,776.50

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Solution

The fourth proportional to 21,786.55, 32,666.64 and 9,776.50 is: 14,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.55 : 32,666.64 = 9,776.50 : x
  2. Step 2: Convert to fraction form
    21,786.55/32,666.64 = 9,776.50/x
  3. Step 3: Cross multiply
    21,786.55x = 32,666.64 × 9,776.50
  4. Step 4: Simplify right side
    21,786.55x = 319,365,405.96
  5. Step 5: Solve for x
    x = 319,365,405.96/21,786.55
  6. Step 6: Final answer
    x = 14,658.83

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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.