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Finding the Fourth Proportional to 10,852.92, 14,976.36 and 7,872.48

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Solution

The fourth proportional to 10,852.92, 14,976.36 and 7,872.48 is: 10,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.92 : 14,976.36 = 7,872.48 : x
  2. Step 2: Convert to fraction form
    10,852.92/14,976.36 = 7,872.48/x
  3. Step 3: Cross multiply
    10,852.92x = 14,976.36 × 7,872.48
  4. Step 4: Simplify right side
    10,852.92x = 117,901,094.57
  5. Step 5: Solve for x
    x = 117,901,094.57/10,852.92
  6. Step 6: Final answer
    x = 10,863.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.