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Finding the Fourth Proportional to 21,338.92, 32,008.97 and 5,756.50

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Solution

The fourth proportional to 21,338.92, 32,008.97 and 5,756.50 is: 8,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.92 : 32,008.97 = 5,756.50 : x
  2. Step 2: Convert to fraction form
    21,338.92/32,008.97 = 5,756.50/x
  3. Step 3: Cross multiply
    21,338.92x = 32,008.97 × 5,756.50
  4. Step 4: Simplify right side
    21,338.92x = 184,259,635.81
  5. Step 5: Solve for x
    x = 184,259,635.81/21,338.92
  6. Step 6: Final answer
    x = 8,634.91

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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.