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Finding the Fourth Proportional to 11,904.80, 17,832.90 and 5,645.84

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Solution

The fourth proportional to 11,904.80, 17,832.90 and 5,645.84 is: 8,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.80 : 17,832.90 = 5,645.84 : x
  2. Step 2: Convert to fraction form
    11,904.80/17,832.90 = 5,645.84/x
  3. Step 3: Cross multiply
    11,904.80x = 17,832.90 × 5,645.84
  4. Step 4: Simplify right side
    11,904.80x = 100,681,700.14
  5. Step 5: Solve for x
    x = 100,681,700.14/11,904.80
  6. Step 6: Final answer
    x = 8,457.24

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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.