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Finding the Fourth Proportional to 2,939.84, 4,405.62 and 2,320.82

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Solution

The fourth proportional to 2,939.84, 4,405.62 and 2,320.82 is: 3,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.84 : 4,405.62 = 2,320.82 : x
  2. Step 2: Convert to fraction form
    2,939.84/4,405.62 = 2,320.82/x
  3. Step 3: Cross multiply
    2,939.84x = 4,405.62 × 2,320.82
  4. Step 4: Simplify right side
    2,939.84x = 10,224,651.01
  5. Step 5: Solve for x
    x = 10,224,651.01/2,939.84
  6. Step 6: Final answer
    x = 3,477.96

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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.