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Finding the Fourth Proportional to 21,580, 32,370 and 5,997.76

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Solution

The fourth proportional to 21,580, 32,370 and 5,997.76 is: 8,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580 : 32,370 = 5,997.76 : x
  2. Step 2: Convert to fraction form
    21,580/32,370 = 5,997.76/x
  3. Step 3: Cross multiply
    21,580x = 32,370 × 5,997.76
  4. Step 4: Simplify right side
    21,580x = 194,147,491.20
  5. Step 5: Solve for x
    x = 194,147,491.20/21,580
  6. Step 6: Final answer
    x = 8,996.64

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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.