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Finding the Fourth Proportional to 7,801.72, 11,696.87 and 2,871.45

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Solution

The fourth proportional to 7,801.72, 11,696.87 and 2,871.45 is: 4,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.72 : 11,696.87 = 2,871.45 : x
  2. Step 2: Convert to fraction form
    7,801.72/11,696.87 = 2,871.45/x
  3. Step 3: Cross multiply
    7,801.72x = 11,696.87 × 2,871.45
  4. Step 4: Simplify right side
    7,801.72x = 33,586,984.54
  5. Step 5: Solve for x
    x = 33,586,984.54/7,801.72
  6. Step 6: Final answer
    x = 4,305.08

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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.