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Finding the Fourth Proportional to 3,291, 4,541.58 and 1,819

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Solution

The fourth proportional to 3,291, 4,541.58 and 1,819 is: 2,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 4,541.58 = 1,819 : x
  2. Step 2: Convert to fraction form
    3,291/4,541.58 = 1,819/x
  3. Step 3: Cross multiply
    3,291x = 4,541.58 × 1,819
  4. Step 4: Simplify right side
    3,291x = 8,261,134.02
  5. Step 5: Solve for x
    x = 8,261,134.02/3,291
  6. Step 6: Final answer
    x = 2,510.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.