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Finding the Fourth Proportional to 1,812, 2,493 and 1,615.08

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Solution

The fourth proportional to 1,812, 2,493 and 1,615.08 is: 2,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812 : 2,493 = 1,615.08 : x
  2. Step 2: Convert to fraction form
    1,812/2,493 = 1,615.08/x
  3. Step 3: Cross multiply
    1,812x = 2,493 × 1,615.08
  4. Step 4: Simplify right side
    1,812x = 4,026,394.44
  5. Step 5: Solve for x
    x = 4,026,394.44/1,812
  6. Step 6: Final answer
    x = 2,222.07

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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.