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Finding the Fourth Proportional to 1,795, 2,682.87 and 1,618.90

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Solution

The fourth proportional to 1,795, 2,682.87 and 1,618.90 is: 2,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795 : 2,682.87 = 1,618.90 : x
  2. Step 2: Convert to fraction form
    1,795/2,682.87 = 1,618.90/x
  3. Step 3: Cross multiply
    1,795x = 2,682.87 × 1,618.90
  4. Step 4: Simplify right side
    1,795x = 4,343,298.24
  5. Step 5: Solve for x
    x = 4,343,298.24/1,795
  6. Step 6: Final answer
    x = 2,419.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.