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Finding the Fourth Proportional to 3,293.84, 4,940.76 and 1,561.52

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Solution

The fourth proportional to 3,293.84, 4,940.76 and 1,561.52 is: 2,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.84 : 4,940.76 = 1,561.52 : x
  2. Step 2: Convert to fraction form
    3,293.84/4,940.76 = 1,561.52/x
  3. Step 3: Cross multiply
    3,293.84x = 4,940.76 × 1,561.52
  4. Step 4: Simplify right side
    3,293.84x = 7,715,095.56
  5. Step 5: Solve for x
    x = 7,715,095.56/3,293.84
  6. Step 6: Final answer
    x = 2,342.28

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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.