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Finding the Fourth Proportional to 11,888.64, 17,829.12 and 4,095.36

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Solution

The fourth proportional to 11,888.64, 17,829.12 and 4,095.36 is: 6,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.64 : 17,829.12 = 4,095.36 : x
  2. Step 2: Convert to fraction form
    11,888.64/17,829.12 = 4,095.36/x
  3. Step 3: Cross multiply
    11,888.64x = 17,829.12 × 4,095.36
  4. Step 4: Simplify right side
    11,888.64x = 73,016,664.88
  5. Step 5: Solve for x
    x = 73,016,664.88/11,888.64
  6. Step 6: Final answer
    x = 6,141.72

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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.