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Finding the Fourth Proportional to 9,878.80, 14,816.92 and 3,722

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Solution

The fourth proportional to 9,878.80, 14,816.92 and 3,722 is: 5,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.80 : 14,816.92 = 3,722 : x
  2. Step 2: Convert to fraction form
    9,878.80/14,816.92 = 3,722/x
  3. Step 3: Cross multiply
    9,878.80x = 14,816.92 × 3,722
  4. Step 4: Simplify right side
    9,878.80x = 55,148,576.24
  5. Step 5: Solve for x
    x = 55,148,576.24/9,878.80
  6. Step 6: Final answer
    x = 5,582.52

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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.