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Finding the Fourth Proportional to 3,274.80, 4,913 and 1,543

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Solution

The fourth proportional to 3,274.80, 4,913 and 1,543 is: 2,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.80 : 4,913 = 1,543 : x
  2. Step 2: Convert to fraction form
    3,274.80/4,913 = 1,543/x
  3. Step 3: Cross multiply
    3,274.80x = 4,913 × 1,543
  4. Step 4: Simplify right side
    3,274.80x = 7,580,759
  5. Step 5: Solve for x
    x = 7,580,759/3,274.80
  6. Step 6: Final answer
    x = 2,314.88

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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.