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Finding the Fourth Proportional to 11,888.32, 17,833.92 and 5,728

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Solution

The fourth proportional to 11,888.32, 17,833.92 and 5,728 is: 8,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.32 : 17,833.92 = 5,728 : x
  2. Step 2: Convert to fraction form
    11,888.32/17,833.92 = 5,728/x
  3. Step 3: Cross multiply
    11,888.32x = 17,833.92 × 5,728
  4. Step 4: Simplify right side
    11,888.32x = 102,152,693.76
  5. Step 5: Solve for x
    x = 102,152,693.76/11,888.32
  6. Step 6: Final answer
    x = 8,592.69

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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.