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Finding the Fourth Proportional to 21,340.66, 32,007.12 and 5,754.64

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Solution

The fourth proportional to 21,340.66, 32,007.12 and 5,754.64 is: 8,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.66 : 32,007.12 = 5,754.64 : x
  2. Step 2: Convert to fraction form
    21,340.66/32,007.12 = 5,754.64/x
  3. Step 3: Cross multiply
    21,340.66x = 32,007.12 × 5,754.64
  4. Step 4: Simplify right side
    21,340.66x = 184,189,453.04
  5. Step 5: Solve for x
    x = 184,189,453.04/21,340.66
  6. Step 6: Final answer
    x = 8,630.92

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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.