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Finding the Fourth Proportional to 2,645, 3,959.12 and 1,861.37

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Solution

The fourth proportional to 2,645, 3,959.12 and 1,861.37 is: 2,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645 : 3,959.12 = 1,861.37 : x
  2. Step 2: Convert to fraction form
    2,645/3,959.12 = 1,861.37/x
  3. Step 3: Cross multiply
    2,645x = 3,959.12 × 1,861.37
  4. Step 4: Simplify right side
    2,645x = 7,369,387.19
  5. Step 5: Solve for x
    x = 7,369,387.19/2,645
  6. Step 6: Final answer
    x = 2,786.16

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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.